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This handy Math in Focus Grade 4 Workbook Answer Key Chapter 10 Practice 3 Horizontal and Vertical Lines detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 10 Practice 3 Answer Key Horizontal and Vertical Lines

Answer the questions.

Question 1.
\(\overline{A B}\) is perpendicular to \(\overline{B C}\).

If \(\overline{A B}\) is a vertical line segment, what do you know about \(\overline{B C}\)?
Answer:
AB is a vertical line segment and BC is horizontal line segment.

Question 2.
a. \(\overline{D E}\) is a vertical line segment. Draw a horizontal line segment through point D and label it \(\overline{D F}\).

Answer:

Drawn a horizontal line segment through point D and label it as DF.

b. What do you know about the angle formed by \(\overline{D E}\) and \(\overline{D F}\)?
Answer:
The angle formed by DE and DF is 90°.

Complete.

Question 3.
a. \(\overline{M N}\) is a horizontal line segment. Draw a vertical line segment through point O to meet \(\overline{M N}\) and label the point P.

Answer:

b. What do you know about \(\overline{M N}\) and \(\overline{O P}\)?
Answer:
MN is a horizontal line segment and OP is a vertical line segment.

c. How many right angles are formed by \(\overline{M N}\) and \(\overline{O P}\)?
Answer:
Two right angles are formed by MN and OP.

Question 4.
a. \(\overline{P Q}\) is a horizontal line segment.
Draw a vertical line segment at point P.
Name it \(\overline{P R}\). Then draw a vertical line segment at point Q.
Name it \(\overline{Q S}\).

Answer:

Drawn a vertical line segment at point P and named it as PR.
Drawn a vertical line segment at point Q and named it as QS.

b. What do you know about \(\overline{P R}\) and \(\overline{Q S}\)? Check with a drawing triangle and a straightedge.
Answer:
Both PR and QS are parallel to each other.

Complete.

Question 5.
a. \(\overline{A B}\) is a horizontal line segment and \(\overline{C D}\) is a vertical line segment. At point D, draw a line segment parallel to \(\overline{A B}\). Name it \(\overline{D E}\).

Answer:

At point D, drawn a line segment parallel to AB and named it as DE.

b. What do you know about \(\overline{C D}\) and \(\overline{D E}\)?
Answer:

Both CD and DE are perpendicular to each other.

Complete.

Question 6.
ABCD is a whiteboard fixed to the wall.

Name the vertical and horizontal line segments on the whiteboard.
Vertical line segments: ____
Horizontal line segments: ____
Answer:
Vertical line segments: BA and CD
Horizontal line segments: AD and BC

This handy Math in Focus Grade 4 Workbook Answer Key Cumulative Review Chapters 9 to 11 detailed solutions for the textbook questions.

Math in Focus Grade 4 Cumulative Review Chapters 9 to 11 Answer Key

Concepts and Skills

Name the given angles in another way. (Lesson 9.1)

Question 1.
∠p : _____________
Answer:
The another way of angle ∠p : ∠DAB or ∠BAD

Question 2.
∠r : _____________
Answer:
The another way of angle ∠r : ∠BCD or ∠DCB

Question 3.
∠ABC : _____________
Answer:
The another way of angle ∠ABC : ∠q or ∠CBA

Question 4.
∠ADC : _____________
Answer:
The another way of angle ∠ADC : ∠S or ∠CDA

Estimate and decide which of the above angle measures are (Lesson 9.1)

Question 5.
acute angles.
Answer:
The estimated acute angles are  ∠BCD and ∠CDA

Question 6.
obtuse angles.
Answer:
The estimated obtuse angles are ∠DAB and ∠BAD.

Estimate each angle measure. Then measure each angle to check your answer. (Lesson 9.1)

Question 7.

Measure of ∠ABC = _____________
Answer:
The estimated measure of  ∠ABC =45°
After measuring, the actual measure of angle  ∠ABC =50°

Question 8.

Measure of ∠DEF = ______________
Answer:
The estimated measure of  ∠DEF =135°
After measuring, the actual measure of angle ∠DEF =150°

Estimate each angle measure. Then measure each angle to check your answer. (Lesson 9.1)

Question 9.

Measure of ∠g ____________
Answer:
The estimated measure of  ∠g =135°
After measuring, the actual measure of angle ∠g =135°

Question 10.

Measure of ∠h _____________
Answer:
The estimated measure of  ∠h =110°
After measuring, the actual measure of angle ∠h =105°

Name and measure each marked angle in the figure. (Lesson 9.2)

Question 11.

Example
Measure of ∠BAE = 110°
Measure of _____________
Measure of _____________
Measure of _____________
Measure of _____________
Answer:
Measure of ∠BAE = 110°
Measure of ∠AED = 100°
Measure of ∠EDC = 90°
Measure of ∠DCB = 85°
Measure of ∠CBA = 135°

Using point A as the vertex draw ∠CAB as described. (Lesson 9.2)

Question 12.
75°, with \(\overrightarrow{A C}\) above \(\overrightarrow{A B}\)
Answer:

Question 13.
42°, with \(\overrightarrow{A C}\) below \(\overrightarrow{A B}\)

Answer:

Question 14.
105°, with \(\overrightarrow{A C}\) above \(\overrightarrow{A B}\)

Answer:

Question 15.
127°, with \(\overrightarrow{A C}\) below \(\overrightarrow{A B}\)

Answer:

Fill in the blanks. (Lesson 9.3)

Question 16.
\(\frac{3}{4}\) of a full turn is __________.
Answer:
3/4 of a full turn is 270°.

Question 17.
Two right angles is ________ of a full turn.
Answer:
Two right angles is 1/2 of a full turn.

Question 18.
360° is ____________ full turn or ___________ right angles.
Answer:
360° is one full turn or four right angles.

Question 19.
What fraction of a full turn is one right angle? ____________
Answer:
1/4 fraction of a full turn is one right angle.

Draw. \(\overleftrightarrow{A B}\) is a vertical line. (Lessons 10.1 to 10.3)

Question 20.
Draw a horizontal line through point B and label it \(\overleftrightarrow{B C}\).

Answer:

Drawn a horizontal line through point B and labeled as BC.

Question 21.
Draw a vertical line through point C and label it \(\overleftrightarrow{C D}\).
Answer:

Drawn a vertical line through point C and labeled as CD.

Question 22.
What can you say about the relationship between \(\overleftrightarrow{A B}\) and \(\overleftrightarrow{B C}\)?
Answer:
The relationship between both AB and BC are perpendicular to each other.

Question 23.
What can you say about the relationship between \(\overleftrightarrow{A B}\) and \(\overleftrightarrow{C D}\)?
Answer:
The relationship between both AB and CD are parallel to each other.

Use a drawing triangle and a straightedge. (Lessons 10.1 and 10.2)

Question 24.
Draw a line segment parallel to \(\overline{P Q}\) through point R.

Answer:

Drawn a line segment parallel to PQ through point R.

Question 25.
Draw a line segment perpendicular to \(\overline{P Q}\) through point S.
Answer:

Drawn a line segment perpendicular to PQ through point S.

Fill in the blanks. (Lesson 11.1)

Question 26.
ABCD is a square.

BC = __________ in.
CD = __________ in.
Answer:
ABCD is a square.
BC = 6 in.
CD = 6 in.
A square is a plane figure with four equal straight sides and four right angles.

Question 27.
PQRS is a rectangle.

\(\overline{S R}\) is 3 times as long as \(\overline{P S}\).
SR = _________ ft
PQ = _________ ft
Answer:
SR is 3 times as long as PS.
From the above figure we can  observe PS= 6ft
SR = 3 × PS
SR = 3 x 6 feet
SR = 18 feet
PQ = 18 feet
A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

Find the measures of the unknown angles in the squares and rectangles. (Lesson 11.2)

Question 28.
STUV is a square.

Measure of ∠TVU = _____________
Answer:
Measure of ∠TVU = 45°.

Question 29.
ABCD is a rectangle.

Measure of ∠BDC = _____________
Answer:
Measure of ∠BDC = 67°

Question 30.
MNOP is a rectangle.

Measure of ∠MNQ = ___________
Measure of ∠OMP = _____________
Answer:
Measure of ∠MNQ = 54°
Measure of ∠OMP = 75°

Question 31.
PQRS is a square

Measure of ∠QSR = ____________
Measure of ∠RQT = _____________
Answer:
Measure of ∠QSR = 45°
Measure of ∠RQT = 29°

Solve. All sides in the figures meet at right angles. Find the lengths of the unknown sides in each figure. (Lesson 11.2)

Question 32.

EF = ____________ cm
BC = ____________ cm
Answer:
EF = AB – CD
EF = 12 cm – 4 cm
EF = 8 cm
BC = DE + FA
BC = 6 cm + 5 cm
BC = 11 cm

Question 33.

QR = ____________ yd
PQ = ____________ yd
Answer:
From the above figure we know that WP = 5 yd
QR = WP
QR = 5 yd
From the above figure we know that VW = 3 yd, RS = 6 yd, UT = 15 yd
PQ = UT – VW – RS
PQ = 15 – 3 – 6
PQ = 6 yd

Question 34.

NM = ____________ m
LK = _____________ m
Answer:
From the above figure we know that ML = 3m
NM = ML
NM = 3 m
From the above figure we know that HG = 20 m, NM = 3m, JI = 3m
LK = HG – NM – JI
LK = 20 – 3 – 3
LK = 14 m

Question 35.

PQ = _____________ mi
TS = _____________ mi
Answer:

From the above figure we know that MT = MN = TS = 10 mi
MT – SR = RN
10 mi – 8 mi = RN
2 mi = RN
From the above figure we know that NO = 2 mi
PQ = NO + RN
PQ = 2 mi + 2 mi
PQ = 4 mi
TS = 10 mi

Practice the problems of Math in Focus Grade 3 Workbook Answer Key Cumulative Review Chapters 10 to 12 to score better marks in the exam.

Math in Focus Grade 3 Cumulative Review Chapters 10 to 12 Answer Key

Concepts and Skills

Read the scale. (Lesson 11.3)

Question 1.
The mass of the bag of flour is ___________ grams.
Answer:
The mass of the bag of flour is 350 grams.
Explanation:
According to the measure in the scale the scale shows 350

Write true or false.

Question 2.
6,016 meters is the same as 6 meters 16 centimeters. (Lesson 11.1)
Answer:
yes, both are same
Explanation:
1 meter = 1000 centimeters
6 x 1000 = 6000
6000 + 16 = 6016 centimeters.

Question 3.
7 kilograms 3 grams is the same as 7,030 grams. (Lesson 11.3)
Answer:
Yes, both are same.
Explanation:
1 Kilogram = 1000 grams
7 x 1000 = 7000 grams
7000 + 30 = 7030 grams

Question 4.
4 liters 250 milliliters is the same as 4,250 milliliters. (Lesson 11.4)
Answer:
Yes, Both are same
Explanation:
1 liter = 1000 milliliters
4 x 1000 = 4000 milliliters
4000 + 250 = 4250 milliliters

Fill in the blanks.

The table shows the height of five students. (Lesson 11.1)

Question 5.
Britney is ___________ meter ___________ centimeters tall.
Answer:
1 meter = 100 centimeter
1.49 meters
Britney is 1.49 meter 149 centimeters tall.

Question 6.
The height of the tallest student is ___________ meter ___________ centimeters.
Answer:
151 centimeters
1 meter = 100 centimeter
1.51 meters
The height of the tallest student is 1.51 meter 151 centimeters.

Question 7.
Keisha is ___________ centimeters taller than Tyrone.
Answer:
Keisha = 150
and  Tyrone = 138
150 – 138 = 12
Keisha is 12 centimeters taller than Tyrone.

Question 8.
Which bag has a different mass from the others? (Lessor 11.3)

Bag __________ has a different mass from the other two.
Answer:
Bag  C has a different mass from the other two.
Explanation:
Bag A and Bag B has same weights
1 kg = 1000 g
5 kg 20 g = 5200 g

Fill in the blanks. (Lesson 11.4)

Each container is completely filled with water. The water is emptied into measuring cups.

Question 9.
The ___________ has the greater capacity.
Answer:
The pot has the greater capacity.
Explanation:
As the pot can contain 3 liters
and the pitcher has 2 liters 250
2250 liters.

Question 10.
The container with the greater capacity can hold ____________ milliliters of water.
Answer:
3 x 1 = 3 liters
1 liter = 1000 milliliters
Explanation:
The container with the greater capacity can hold 3000 milliliters of water.

Look at the picture. Complete. (Lesson 11.2)

Question 11.
The distance between Wendy’s house and Pioneer Elementary School is ____________ kilometers ____________ meters.
Answer:
The distance between Wendy’s house and Pioneer Elementary School is 2 kilometers 100 meters.
Explanation:
1 kilometer = 1000 meters
So 2100 meters = 2000 meters + 100 meters = 2 kilometers and 100 meters

Question 12.
The distance between the movie theater and the Pioneer Elementary School is ____________ meters.
Answer:
The distance between the movie theater and the Pioneer Elementary School is 2050 meters.
Explanation:
1 kilometer = 1000 meters
So 2km 50 meters = 2000 meters + 50 meters = 2050 meters.

Question 13.
The distance between the park and Wendy’s house is ____________ meters.
Answer:
The distance between the park and Wendy’s house is 1010 meters.
Explanation:
1 kilometer = 1000 meters
So 1km 10 meters = 1000 meters + 10 meters = 1010  meters.

Question 14.
The distance between Wendy’s house and the movie theater is ____________ kilometer ____________ meters.
Answer:
The distance between Wendy’s house and the movie theater is 1 kilometer 980 meters.
Explanation:
1 kilometer = 1000 meters
So 1980meters = 1000 meters + 980 meters = 1 kilometer and 980 meters

Question 12.

Problem Solving

Solve. Show your work.

Question 15.
Hayley is saving for a book that costs $19.50. She has saved $7.85. How much more does she need to save?
Answer:$ 11.65
Explanation:
Hayley is saving for a book that costs $19.50. She has saved $7.85. $11.65 more she need to save.
Since $19.50 – $7.85= $11.65

Question 16.
The table shows the amount of money Tim saved for three months.

How much did Tim save in March? $ ____________
Answer:

How much did Tim save in March? $ 23.75
Explanation:
Jan and Feb total savings are $10.55 + $15.70 = $26.25
Total Jan, Feb ad Mar savings are  $50.
So March month savings are $50 – $26.25 = $23.75

Solve. Show your work.

Question 17.
Nigel has 1 3 quarters. Madi has $6.85. How much money do they have in all?
Answer:
$6.98
Explanation:
Nigel has 1 3 quarters. Madi has $6.85.
As they are quarters we have to add in decimal point.
6.85 + 13 = 6.98

Question 18.
The mass of 3 tomatoes and a squash is 730 grams. The mass of the squash is 430 grams. What is the mass of one tomato?
Answer:
the mass of one tomato = 100 grams
Explanation:
The mass of 3 tomatoes and a squash is 730 grams.
The mass of the squash is 430 grams.
730 – 430 = 300
300 ÷ 3 = 100

Solve. Show your work.

Question 19.
A sparrow flies 256 meters. An eagle flies three times as far as the sparrow. The distance flown by the eagle is twice that of the pigeon. How far does the pigeon fly?
Answer:
1536 meters
Explanation:
A sparrow flies 256 meters.
An eagle flies three times as far as the sparrow.
3 x 256 = 768
The distance flown by the eagle is twice that of the pigeon.
768 x 2 = 1536
1536 meters that  the pigeon fly

Question 20.
An equal amount of lemonade is poured into 3 cups. The pitcher has 40 milliliters left in it. Each cup has 325 milliliters of lemonade. How much lemonade was in the pitcher at first? Express your answer in liters and milliliters.
Answer:
1050 in milliliters
1.050 in liters
Explanation:
An equal amount of lemonade is poured into 3 cups.
The pitcher has 40 milliliters left in it. Each cup has 325 milliliters of lemonade.
325 x 3 = 975
975 + 40 = 1050
1050 milliliters lemonade was in the pitcher at first
1 liter = 1000 milliliter

Solve. Show your work.

Question 21.
Elle had $85.30. After buying two of these items, she has $25.75 left.
a. How much did the two items cost?
Answer:
$59.55 was the item cost
Explanation:
Elle had $85.30. After buying two of these items,
she has $25.75 left.
$85.30 – 25.75 = $59.55

b. Which two items did she buy? Do you need an exact answer or an estimate to solve this?

Answer:
He bought Bicycle and Jacket
Explanation:
It is very simple to find the exact answer
Just add to get the total
Bicycle and jacket
$45 + $15.55 = $59.55

This handy Math in Focus Grade 4 Workbook Answer Key Chapter 13 Practice 2 Rotational Symmetry detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 13 Practice 2 Answer Key Rotational Symmetry

Decide whether each figure has rotational symmetry about the center shown. Write yes or no.

Example

Answer:
Yes

Question 1.

Answer:
Yes, The above figure has the rotational symmetry for the center shown.

Question 2.

Answer:
No, The above figure doesn’t have the rotational symmetry for the center shown.

Question 3.

Answer:
Yes, The above figure has the rotational symmetry for the center shown.

Question 4.

Answer:
Yes, The above figure has the rotational symmetry for the center shown.

Question 5.

Answer:
No, The above figure doesn’t have the rotational symmetry for the center shown.

Decide whether each figure has rotational symmetry about the center shown. Write yes or no.

Question 6.

Answer:
Yes, The above figure has the rotational symmetry for the center shown.

Question 7.

Answer:
Yes, The above figure has the rotational symmetry for the center shown.

Look at each letter and number. Which ones have rotational symmetry? Circle your answers.

Question 8.

Answer:

Go through the Math in Focus Grade 3 Workbook Answer Key Chapter 3 Practice 3 Addition with Regrouping in Ones, Tens, and Hundreds to finish your assignments.

Math in Focus Grade 3 Chapter 3 Practice 3 Answer Key Addition with Regrouping in Ones, Tens, and Hundreds

Follow the steps to add. Fill in the blanks.

Question 1.

Add the ones and regroup the ones.
2 ones + 9 ones
= ___ ones
= ___ tens ___ ones

Add the tens and regroup the tens.
1 ten + 3 ten + 8 tens
= ___ tens
= ___ hundred ___ tens

Add the hundreds and regroup the hundreds.
1 hundred + 5 hundreds + 9 hundreds
= ___ hundreds
= ___ thousand ___ hundreds

Add the thousands
1 thousand + 5 thousands + 2 thousands
= ___ thousands
Answer:
5,532 + 2,989 = 8,521.

Explanation:

Add the ones and regroup the ones.
2 ones + 9 ones
= 11 ones
= 1 tens 1 ones.

Add the tens and regroup the tens.
1 ten + 3 ten + 8 tens
= 12 tens
= 1 hundred 2 tens.

Add the hundreds and regroup the hundreds.
1 hundred + 5 hundreds + 9 hundreds
= 15 hundreds
= 1 thousand 5 hundreds.

Add the thousands
1 thousand + 5 thousands + 2 thousands
= 8 thousands.

 

Add.

Example

Question 2.

Answer:

Explanation:
215 + 796 = 1,011.

Question 3.

Answer:

Explanation:
1,063 + 429 = 1,492.

Question 4.

Answer:

Explanation:
1,198 + 622 = 1,820.

Question 5.

Answer:

Explanation:
3,329 + 1,597 = 4,926.

Question 6.

Answer:

Explanation:
6,258 + 2,937 = 9,195.

Question 7.

Answer:

Explanation:
1,406 + 86 = 1,492.

Question 8.

Answer:

Explanation:
3,674 + 1,667 = 5,341.

Question 9.

Answer:

Explanation:
657 + 943 = 1,600.

Question 10.

Answer:

Explanation:
6,435 + 2,689 = 9,124.

Fill in the blank.
Question 11.
Christopher Columbus landed on an island ¡n the Caribbean in _____
(Hint: The value appears twice on this page.)
Answer:
Christopher Columbus landed on an island ¡n the Caribbean in  1,492.

Explanation:

 

Solve.
Example
A baker makes 3,452 bagels in the morning.
He makes another 759 bagels in the afternoon.
How many bagels does he make in all?

3,452 + 759 = 4,211
The baker makes 4,211 bagels in all.

Question 12.
A grocer sells 6,835 apples and 2,795 oranges. How many pieces of fruit does she sell in all?

She sells ___ pieces of fruit in all.
Answer:
She sells 9,630 pieces of fruit in all.

Explanation:
Number of apples a grocer sells = 6,835.
Number of oranges a grocer sells = 2,795.
Total number of pieces of fruit she sells in all = Number of apples a grocer sells + Number of oranges a grocer sells
= 6,835 + 2,795
= 9,630.

Solve.
Question 13.
Molly’s bakery sells 5,268 muffins. Then Molly has 1,952 muffins left. How many muffins does she have at first?

Molly has ___ muffins at first.
Answer:
Molly has 3,316 muffins at first.

Explanation:
Number of muffins Molly’s bakery sells = 5,268.
Number of muffins Molly has left = 1,952.
Number of muffins she have at first = Number of muffins Molly’s bakery sells – Number of muffins Molly has left
= 5,268 – 1,952
= 3,316.

Question 14.
Mr. Sanchez has 2,156 gold coins and 3,152 silver coins. How many coins does he have in all?
Mr. Sanchez has __ coins in all.
Answer:
Mr. Sanchez has 5,308 coins in all.

Explanation:
Number of gold coins Mr. Sanchez has = 2,156.
Number of silver coins Mr. Sanchez has = 3,152.
Total number of coins he have in all = Number of gold coins Mr. Sanchez has + Number of silver coins Mr. Sanchez has
= 2,156 + 3,152
= 5,308.

This handy Math in Focus Grade 5 Workbook Answer Key Chapter 15 Practice 6 Volume of a Rectangular Prism and Liquid provides detailed solutions for the textbook questions.

Math in Focus Grade 5 Chapter 15 Practice 6 Answer Key Volume of a Rectangular Prism and Liquid

Write each measure in milliliters.

Question 1.
690 cm³ = ____________
Answer:
690 cm³ = 690 milliliters,

Explanation:
Given 690 cm³ to measure in milliliters,
as 1 cubic centimeter is equal to 1 milliliters
so 690 cm³ = 690 X 1 milliliters = 690 milliliters.

Question 2.
207 cm³ = ____________
Answer:
207 cm³ = 207 milliliters,

Explanation:
Given 207 cm³ to measure in milliliters,
as 1 cubic centimeter is equal to 1 milliliters
so 207 cm³ = 207 X 1 milliliters = 207 milliliters.

Question 3.
2,000 cm³ = ____________
Answer:
2,000 cm³ = 2,000 milliliters,

Explanation:
Given 2,000 cm³ to measure in milliliters,
as 1 cubic centimeter is equal to 1 milliliters
so 2,000 cm³ = 2,000 X 1 milliliters = 2,000 milliliters.

Question 4.
4,600 cm³ = ____________
Answer:
4,600 cm³ = 4,600 milliliters,

Explanation:
Given 4,600 cm³ to measure in milliliters,
as 1 cubic centimeter is equal to 1 milliliter
so 4,600 cm³ = 4,600 X 1 milliliters = 4,600 milliliters.

Write each measure in cubic centimeters.

Question 5.
420 mL = ________cm³,
Answer:
420 ml = 420 cm³,

Explanation:
Given 420 ml to measure in cubic centimeters,
as 1 milliliters is equal to 1 cubic centimeters,
so 420 ml = 420 X 1 cubic centimeters = 420 cm³ .

Question 6.
568 mL = ____________cm³,
Answer:
568 ml = 568 cm³,

Explanation:
Given 568 mL to measure in cubic centimeters,
as 1 milliliters is equal to 1 cubic centimeters,
so 568 ml = 568 X 1 cubic centimeters = 568 cm³ .

Question 7.
3 L = ____________cm³,
Answer:
3 L = 3,000 X 1 ml = 3,000 cm³,

Explanation:
Given 3 L = 3,000 ml to measure in cubic centimeters,
as 1 milliliters is equal to 1 cubic centimeters,
so 3,000 ml = 3,000 X 1 cubic centimeters = 3,000 cm³ .

Question 8.
15 L = ___cm³,
Answer:
15 L = 15,000 X 1 ml = 15,000 cm³,

Explanation:
Given 15 L = 15,000 ml to measure in cubic centimeters,
as 1 milliliters is equal to 1 cubic centimeters,
so 15,000 ml = 15,000 X 1 cubic centimeters = 15,000 cm³ .

Question 9.
2 L 125 mL = ___________cm³,
Answer:
2 L 125 mL = 2,125 X 1 cubic centimeters = 2,125 cm³,

Explanation:
Given 2 L 125 mL = 2 ,125 mL to measure in cubic centimeters,
as 1 milliliters is equal to 1 cubic centimeters,
so 2L 125 mL = 2,125 X 1 cubic centimeters = 2,125 cm³ .

Question 10.
5 L 60 mL = ____________cm³,
Answer:
5 L 60 mL = 5,060 X 1 cm = 5,060 cm³,

Explanation:
Given 5 L 60 mL = 5,060 mL to measure in cubic centimeters,
as 1 milliliters is equal to 1 cubic centimeters,
so 5 L 60 mL = 5,060 X 1 cubic centimeters = 5,060 cm³.

Question 11.
10 L 50mL = _______cm³,

Explanation:
Given 10 L 50 mL = 10,050 mL to measure in cubic centimeters,
as 1 milliliters is equal to 1 cubic centimeters,
so 10 L 50 mL = 10,050 X 1 cubic centimeters = 10,050 cm³ .

Question 12.
7 L 2mL = ____________cm³,
Answer:
7 L 2 mL = 7,002 cm³,

Explanation:
Given 7 L 2 mL = 7 ,002 mL to measure in cubic centimeters,
as 1 milliliters is equal to 1 cubic centimeters,
so 7 L 2 mL = 7,002 X  1 cubic centimeters = 7,002 cm³.

Do you know which national park is the oldest in the United States?
Match the letters to the answers to find out.

Answer:
YELLOW STONE  is the oldest national park in the United States,

Explanation:
Yes, After matching the letters the answer is YELLOW STONE,
the oldest national park in the United States.

Write each measure in liters and milliliters.

Question 13.
720 cm³ = ____________milliliters³,
Answer:
720 cm³ = 720 milliliters³,

Explanation:
Given 720 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters
so 720 cm³ = 720 X 1 cubic centimeters = 720 milliliters.

Question 14.
7,000 cm³ = _________,
Answer:
7,000 cm³ = 7 L ,

Explanation:
Given 7,000 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 7,000 cm³ = 7,000 X 1 milliliters = 7 X 1,000 milliliters =  1 L.

Question 15.
2,050 cm³ = ___________
Answer:
2,050 cm³ = 2 L 50 mL ,

Explanation:
Given 2,050 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 2,050 cm³ = 2,050 X 1 milliliters = 2  X 1,050 milliliters =  2 L, 50 mL.

Question 16.
1,470 cm³ = ____________
Answer:
1,470 cm³ = 1 L 470 mL ,

Explanation:
Given 1,470 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 1,470 cm³ = 1,470 X 1 milliliters = 1  X 1,470 milliliters =  1 L, 470 mL.

Question 17.
9,801 cm³ = ____________
Answer:
9,801 cm³ = 9 L 801 mL ,

Explanation:
Given 9,801 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 9,801 cm³ = 9,801 X 1 milliliters = 9 L X 801 milliliters =  9 L, 801 mL.

Question 18.
4,003 cm³ = ____________
Answer:
4,003 cm³ = 4 L 3 mL ,

Explanation:
Given 4,003 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 4,003 cm³ = 4,003 X 1 milliliters = 4 L X 3 milliliters =  4 L, 3 mL.

Question 19.
10,600 cm³ = ____________
Answer:
10,600 cm³ = 10,600 mL ,

Explanation:
Given 10,600 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 10,600 cm³ = 10,600 X 1 milliliters = 10 L X 600 milliliters =  10 L, 600 mL.

Question 20.
1,075 cm³ = _____1 L 075 mL_______
Answer:
1,075 cm³ = 1 L 075 mL ,

Explanation:
Given 1,075 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 1,075 cm³ = 1 L X  75 milliliters = 1 L X 75 milliliters =  1 L, 75 mL.

Find the volume of water in each rectangular tank in milliliters.
(Hint: 1 cm³ = 1 mL)

Question 21.

Volume = ____288 mL_______
Answer:
Volume = 288 mL,

Explanation:
Given rectangular tank has volume 12 cm X 4 cm X 6 cm = 288 cm³
as 1 cubic centimeter is equal to 1 milliliters,
so, 288 cm³ = 288 mL.

Question 22.

Volume = ___________
Answer:
Volume = 315 mL,

Explanation:
Given rectangular tank has volume as 7 cm X 5 cm X 9 cm = 315 cm³
as 1 cubic centimeter is equal to 1 milliliters,
so 315 cm³ = 315 mL.

Find the volume of water in each rectangular tank in liters and milliliters.
(Hint: 1,000 cm³ = 1 L)

Question 23.

Volume = ___________
Answer:
Volume = 1 L,

Explanation:
Given rectangular tank has volume as 25 cm X 8 cm X 5 cm = 1000 cm³ ,
1,000 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 1,005 cm³ = 1,000 milliliters = 1 L.

Question 24.

Volume = ___________
Answer:
Volume = 1 L 8 mL,

Explanation:
Given rectangular tank has volume as 28 cm X 6 cm X 6 cm = 1,008 cm³ ,
1,008 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 1,008 cm³ = 1,008 milliliters = 1 L 8 mL.

Question 25.

Volume = ____ _______
Answer:
Volume = 1 L 458 mL,

Explanation:
Given rectangular tank has volume as 18 cm X 9 cm X 9 cm = 1,458 cm³ ,
1,458 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 1,458 cm³ = 1,458 milliliters = 1 L 458 mL.

Question 26.

Volume = ___________
Answer:
Volume = 1 L 456 mL,

Explanation:
Given rectangular tank has volume as 26 cm X 8 cm X 7 cm = 1,456 cm³ ,
1,456 cm³ to measure in cubic centimeters,
as 1 cubic centimeter is equal to 1 milliliters and
1 liter is equal to 1000 milliliters
so 1,456 cm³ = 1,456 milliliters = 1 L 456 mL.

Solve. Show your work.

Question 27.
How much water is in this tank when it is \(\frac{1}{3}\) full?

Answer:
The tank is filled with volume 218 cm³,

Explanation:
Given rectangular tank has volume with dimensions 12 cm X 6 cm X 9 cm = 648 cm³,
water in the tank is \(\frac{1}{3}\),
So \(\frac{1}{3}\) X 648 cm³ = 218 cm³.

Question 28.
This rectangular tank is filled with water to a height of 4 centimeters.
How much more water is needed to fill the tank completely?

Answer:
Water needed to fill the tank completely is 432 cm³,

Explanation:
Given rectangular tank has volume with dimensions 18 cm X 12 cm X 6 cm = 1,296 cm³ and
tank is filled with water to a height of 4 centimeters,
so volume of tank with water filled is 18 cm X 12 cm X 4 cm = 864 cm³,
Therefore more water is needed to fill the tank completely is 1,296 cm³– 864 cm³  = 432 cm³.

Solve. Show your work.

Question 29.
A cubical tank with an edge length of 20 centimeters is filled with 3.75 liters of water.
How much more water is needed to fill the tank completely? Give your answer in liters.

Answer:
More water needed to fill the tank completely is 4.25 liters,

Explanation:
Given rectangular tank has volume with dimensions 20 cm X 20 cm X 20 cm = 8,000 cm³,
So the volume of the tank in liters is 8 X 1000 mL= 8 L,
and tank cubical tank with an edge length of 20 centimeters is filled with 3.75 liters of water.
Therefore more water is needed to fill the tank completely is 8 L – 3.75 L = 4.25 liters.

Question 30.
The rectangular tank shown is \(\frac{1}{4}\)-filled with water.
Then another 1 liter 400 milliliters of water is added.
Find the volume of water in the tank in the end. Give your answer in liters and milliliters.

Answer:
The volume of water in the tank in the end is 2L 520 mL,

Explanation:
Given rectangular tank has volume with dimensions 28 cm X 20 cm X 8 cm = 4,480 cm³,
and the rectangular tank shown is \(\frac{1}{4}\)-filled with water.
So volume of tank in liters is \(\frac{1}{4}\) X 4,480 cm³ = 1,120 cm³,
1 L 120 mL to this another 1 liter 400 milliliters of water is added and tank has
1 L 120 mL + 1L 400 mL =  2L 520  mL.

Solve. Show your work.

Question 31.
This container is half-filled with oil. What is the volume of oil in the container?
Give your answer in liters and milliliters.

Answer:
The container is filled with volume 1 L 862 mL,

Explanation:
Given rectangular tank has volume with dimensions 14 cm X 14 cm X 19 cm = 3,724 cm³,
Container is half-filled with oil so volume of oil in the container is
\(\frac{1}{2}\) X 3,724 cm³ = 1,862 cm³ = 1 L 862 mL.

Question 32.
A cubical tank whose edges each measure 1 2 centimeters is half-filled with water.
The water is poured into an empty rectangular tank measuring
10 centimeters by 8 centimeters by 7 centimeters until it is full.
How much water is left in the cubical tank? Give your answer in milliliters.

Answer:
Water left in the cubical tank is  1,168 cm³,

Explanation:
Given a cubical tank whose edges each measure 1 2 centimeters is half-filled with water.
So volume with dimensions 12 cm X 12 cm X 12 cm = 1,728 cm³ and
the water is poured into an empty rectangular tank measuring
10 centimeters by 8 centimeters by 7 centimeters until it is full.
So water poured is 10 cm X 8 cm X 7 cm = 560 cm³ ,
therefore, water left in the cubical tank is 1,728 cm³ – 560 cm³ = 1,168 cm³.

Solve. Show your work.

Question 33.
The rectangular swimming pool shown contains 600 cubic meters of water.
How much more water has to be added so that the water level is 1 meter from the top?

Answer:
Volume left in swimming pool is 4,900 cubic meters,

Explanation:
Given swimming pool contains volume of 50 m X 30 m X 3 m = 4,500 cubic meters
and the rectangular swimming pool shown contains 600 cubic meters of water.
and that the water level is 1 meter from the top is
4,500 cubic meters + 1 L = 5,500 cubic meters,
therefore, volume left in swimming pool is
5,500 cubic meters – 600 cubic meters = 4,900 cubic meters.

Question 34.
The rectangular tank shown is filled completely with water.
How much water must be taken out so the height of the water
level in the tank is 10 centimeters? Give your answer in milliliters.

Answer:
Water to be taken out, so the height of the water
level in the tank is 10 centimeters is 240 cubic meters,

Explanation:
Given the rectangular tank shown is filled completely with water,
so, volume of 6 cm X 8 cm X 15 cm = 720 cubic meters,
The height of the water level in the tank is 10 centimeters,
so, volume of 6 cm X 8 cm X 10 cm = 480 cubic meters,
Water to be taken out is 720 cubic meters – 480 cubic meters = 240 cubic meters.

Solve. Show your work.

Question 35.
The large rectangular tank shown is \(\frac{4}{5}\)-filled with water.
The water is then poured into the smaller rectangular container until it is full.
How much water is left in the tank? Give your answer in liters and milliliters.

Answer:
Water left in the tank is 1,920 cm³,

Explanation:
Given large rectangular tank has volume with dimensions 15 cm X 15 cm X 12 cm = 2,700 cm³,
The large rectangular tank shown is \(\frac{4}{5}\) filled with water
therefore tank has \(\frac{4}{5}\) X 2,700 cm³ =
\(\frac{4 X 2,700}{5}\) cm³ = 2,160 cm³.
The water is then poured into the smaller rectangular container until it is full.
Volume of smaller rectangular container with dimensions 6 cm X 5 cm X 8 cm = 2,40 cm³,
Water left in the tank is 2,160 cm³– 2,40 cm³= 1,920 cm³.

Question 36.
Water flows into this tank at 8 liters per minute. How long will it take to fill the tank?

Answer:
long it will take to fill the tank is 7.5 minutes,

Explanation:
Given rectangular tank has volume with dimensions
60 cm X 50 cm X 20 cm = 60,000 cm³ = 60 liters,
and Water flows into this tank at 8 liters per minute.
So long will it take to fill the tank is 60 liters ÷ 8 liters per minute = 7.5 minutes.

This handy Math in Focus Grade 5 Workbook Answer Key Chapter 15 Practice 5 Volume of a Rectangular Prism and Liquid provides detailed solutions for the textbook questions.

Math in Focus Grade 5 Chapter 15 Practice 5 Answer Key Volume of a Rectangular Prism and Liquid

Write the length, width, and height of each rectangular prism or cube.

Example

Answer:
Volume of given rectangular prism is 240 cm³,

Explanation:
Given Length = 5 cm, Width = 8 cm and Height = 6 cm,
Volume of the rectangular prism is lwh = 5 cm X 8 cm X 6 cm = 240 cm³.

Question 1.

Length = _____12_______ ft
Width = _______12_____ ft
Height = _______20_____ ft
Answer:
Volume of the recangular prism is cube is 2,880 ft³,

Explanation:
Given rectangular prism has length 12 ft, width 12 ft and height 20 ft,
so volume of the rectangular prism is 12 ft X 12 ft X 20 ft = 2,880 ft³.

Question 2.

Length = ____12________ in.
Width = ______25______ in.
Height = _______16_____ in.
Answer:
Volume of the recangular prism is 4,800 in³,

Explanation:
Given rectangular prism has length 12 in, width 25 in and height 16 in,
so volume of the rectangular prism is 12 in X 25 in X 16 in = 4,800 in³.

Question 3.

Length = _____18_______ m
Width = ______18______ m
Height = ______18______ m
Answer:
Volume of the cube is 5832 m³,

Explanation:
Given cube has length 18 m, width 18 m and height 18 m,
so volume of the cube is 18 m X 18 m X 18 m = 5832  m³.

Find the volume of each rectangular prism.

Question 4.

The length of the rectangular prism is _______12_____ centimeters.
The width of the rectangular prism is _______5_____ centimeters.
The height of the rectangular prism is _______9_____ centimeters.
Volume of the rectangular prism = length × width × height
= _____12_______ × _____5_______ ×______9______
= ______540______ cm³
Answer:
Volume of the recangular prism is cube is 540 cm³,

Explanation:
Given rectangular prism has length 12 cm, width 5 cm and height 9 cm,
so volume of the rectangular prism is 12 cm X 5 cm X 9 cm = 540 cm³.

Question 5.

Volume = _____24_______in³
Answer:
Volume of the recangular prism is 24 in³,

Explanation:
Given rectangular prism has length 3 in, width 4 in and height 2 in,
so volume of the rectangular prism is 3 in X 4 in X 2 in = 24 in³.

Question 6.

Volume = _____120_______ yd³,
Answer:
Volume of the recangular prism is 120 yd³,

Explanation:
Given rectangular prism has length 5 yd, width 8 yd and height 3 yd,
so volume of the rectangular prism is 5 yd X 8 yd X 3 yd = 120 yd³.

Find the volume of each rectangular prism or cube.

Question 7.

Volume = _____120_______ft³,
Answer:
Volume of the recangular prism is cube is 120 ft³,

Explanation:
Given rectangular prism has length 4 ft, width 6 ft and height 5 ft,
so volume of the rectangular prism is 4 ft X 6 ft X 5 ft = 2,880 ft³.

Question 8.

Volume = ______4,096______m³,
Answer:
Volume of the cube is 4,096 m³,

Explanation:
Given cube has length 18 m, width 18 m and height 18 m,
so volume of the cube is 16 m X 16 m X 16 m = 4,096 m³.

Question 9.

Volume = _____384_______cm³,

Answer:
Volume of the recangular prism is cube is 384 cm³,

Explanation:
Given rectangular prism has length 4 cm, width 24 cm and height 4 cm,
so volume of the rectangular prism is 4 cm X 24 cm X 4 cm = 384 cm³.

Question 10.

Volume = _____189_______ in³,
Answer:
Volume of the recangular prism is 189 in³,

Explanation:
Given rectangular prism has length 7 in, width 9 in and height 3 in,
so volume of the rectangular prism is 7 in X 9 in X 3 in = 189 in³.

Question 11.

Volume = ______448______ in³,
Answer:
Volume of the recangular prism is 448 in³,

Explanation:
Given rectangular prism has length 8 in, width 8 in and height 7 in,
so volume of the rectangular prism is 8 in X 8 in X 7 in = 448 in³.

Question 12.

Volume = _____120_______ m³,
Answer:
Volume of the recangular prism is 120 m³,

Explanation:
Given rectangular prism has length 8 m, width 3 m and height 5 m,
so volume of the rectangular prism is 8 m X 3 m X 5 m = 120 m³.

Find the volume of each rectangular prism.

Question 13.
Length = 5 cm
Width = 12 cm
Height = 9 cm
Volume = ______540_______ cm³,
Answer:
Volume of the recangular prism is 540 cm³,

Explanation:
Given rectangular prism has length 5 cm, width 12 cm and height 9 cm,
so volume of the rectangular prism is 5 cm X 12 cm X 9 cm = 540 cm³.

Question 14.
Length = 10 in.
Width = 25 in.
Height = 14 in.
Volume = ______3,500_______ in³,
Answer:
Volume of the recangular prism is 3,500 in³,

Explanation:
Given rectangular prism has length 10 in, width 25 in and height 14 in,
so volume of the rectangular prism is 10 in X 25 in X 14 in = 3,500 in ³.

Question 15.
Length = 7 m
Width = 12 m
Height = 8 m
Volume = _____672________ m³,
Answer:
Volume of the recangular prism is 672 m³,

Explanation:
Given rectangular prism has length 7 m, width 12 m and height 8 m,
so volume of the rectangular prism is 7 m X 12 m X 8 m = 672 m³.

Question 16.
Length = 24 ft
Width = 10 ft
Height = 15 ft
Volume = ______3,600_______ ft³,
Answer:
Volume of the recangular prism is 3,600 ft³,

Explanation:
Given rectangular prism has length 24 ft, width 10 ft and height 15 ft,
so volume of the rectangular prism is 24 ft X 10 ft X 15 ft = 3,600 ft³.

Solve. Show your work.

Question 17.
Find the volume of a cube with edges measuring 9 centimeters.
Answer:
Volume of the cube is 729 cm³,

Explanation:
Given cube has edges measuring 9 centimeters each
means length 9 cm, width 9 cm and height 9 cm,
so volume of the cube is 9 cm X 9 cm X 9 cm = 729 cm³.

Question 18.
A rectangular prism has a width of 8 feet and a height of 5 feet.
Its length is twice its width.
Find the volume of the rectangular prism.
Answer:
Volume of the recangular prism is 640 ft³,

Explanation:
Given rectangular prism has width 8 feet and height 5 feet,
its length is twice its width so length is 2 X 8 feet = 16 feet,
so volume of the rectangular prism is 16 ft X 8 ft X 5 ft =640 ft³.

Question 19.
The base of a rectangular prism is a square whose sides each measure 9 inches.
The height of the rectangular prism is 11 inches. Find its volume.
Answer:
Volume of the recangular prism is 891 in³,

Explanation:
Given the base of a rectangular prism is a square whose sides are each measure 9 inches.
The height of the rectangular prism is 11 inches.
So the rectangular prism has length 9 inches, width 9 inches and height 11 inches,
therefore, volume of the rectangular prism is 9 inches X 9 inches X 11 inches = 891 in³.

This handy Math in Focus Grade 5 Workbook Answer Key Chapter 15 Practice 3 Nets and Surface Area provides detailed solutions for the textbook questions.

Math in Focus Grade 5 Chapter 15 Practice 3 Answer Key Nets and Surface Area

Find the surface area of each cube.

Example

3 × 3 = 9
6 × 9 = 54
Surface area of cube = 54 cm²

Question 1.

Answer:
S.A = 150 in.²,

Explanation:
As we know surface area (S.A) of cube is 6 X (side X side),
Given cube has 5 in side therefore S.A = 6 X (5 in X 5 in) =
6 X (25 in.²) = 150 in.².

Question 2.

Answer:
S.A = 864 in.²,

Explanation:
As we know surface area (S.A) of cube is 6 X (side X side),
Given cube has 12 in side therefore S.A = 6 X (12 in X 12 in) =
6 X (144 in.²) = 864 in.².

Question 3.

Answer:
S.A = 1924 cm²,

Explanation:
As we know surface area (S.A) of cube is 6 X (side X side),
Given cube has 18 in side therefore S.A = 6 X (18 cm X 18 cm) =
6 X (324 cm²) = 1924 cm².

Find the surface area of each rectangular prism.

Example

2 × 8 × 4 = 64
2 × 22 × 4 = 176
2 × 22 × 8= 352
64 + 176 + 352 = 592
Surface area of rectangular prism = 592 in.²

Question 4.

Answer:
The surface area of rectangular prism is 684 in.²,

Explanation:
As the surface area of rectangular prism is
2 X [(width X length) + (height X length) + (height X width)],
= 2 X [(12 in X 15 in) + (6 in X 15 in) + (6 in X 12 in)],
= 2 X [(180 in.²) + (90 in.²) + (72 in.²)]
= 2 X [ 342 in.²],
= 684 in.².

Question 5.

Answer:
The surface area of rectangular prism is 952 m.²,

Explanation:
As the surface area of rectangular prism is
2 X [(width X length) + (height X length) + (height X width)],
= 2 X [(8 m X 19 m) + (12 m X 19 m) + ( 12 m X  8 m)],
= 2 X [(152 m.²) + (228 m.²) + (96 m.²)]
= 2 X [ 476 m.²],
= 952 m.².

Find the surface area of each triangular prism.

Example

Answer:
Surface area of triangular prism = 228 in.²

Explanation:
2 × \(\frac{1}{2}\) × 3 in × 4 in = 12 in.²
4 in × 18 in = 72 in.²
3 in × 18 in = 54 in.²
5 in × 18 in = 90 in.²
12 in.²+ 72  in.² + 54 in.² + 90 in.² = 228 in.²
Surface area of triangular prism = 228 in.²

Question 6.

Answer:

Explanation:
The formula for the surface area of triangular prism is:
Surface area = bh + (l X w + w X h + l X h),
= (5 cm X 35 cm) + (13 cm X 24 cm + 24 cm X 5 cm + 13 cm X 35 cm),
= 175  cm²+ ( 312 cm²+ 120 cm²+ 455 cm²)
= 1,062 cm².

Solve. Show your work.

Question 7.

Jeffrey cuts out the net of a box he wants to make.
Find the surface area of the box.

Answer:
The surface area of Jeffrey box is 684 in.²,

Explanation:
Jeffrey box contains 1 square of 8 in side,
2 rectangles of length 15 in and 8 in width,
2 rectangles of length 15 in and 10 in width,
1 rectangle of length 10 in and 8 in width,
So the surface area of Jeffrey box is
8 in X 8 in = 64 in.²
2 X (15 in X 8 in) = 2 X 120 in.²= 240 in.²
2 X (15 in X 10 in) = 2 X 150 in.²= 300 in.²
1 X (10 in X 8 in) = 80 in.²
surface area = 64 in.²+ 240 in.² + 300 in.²+ 80 in.²,
surface area = 684 in.².

Solve. Show your work.

Question 8.
This glass fish tank does not have a cover. Find the total area of the
glass panels used to make the tank.

Answer:
The total area of the glass panels used to make the tank is = 288 cm²,

Explanation:
Given glass fish tank that does not have a cover. The total area of the
glass panels used is in the shape of cuboid,
therefore to make the tank we need
2(lw + lh + hw) = 2 X [(24 cm + 21 cm) + (24 cm + 27 cm) + (27 cm + 21 cm)],
= 2 X (45 cm² + 51 cm² + 48 cm²),
= 2 X (144 cm²),
= 288 cm².

Question 9.
The tank shown is made of steel. It does not have a cover.
Find the area of steel sheet used to make the tank.

Answer:
The total area of the steel sheet is 190 ft²,

Explanation:
Given tank shown is made of steel,
The total area of the steel sheet used is in the shape of rectangular prism,
therefore to make the tank we need
2(lw + lh + hw) = 2 X [(6 1/2 ft + 28 ft) + (6 1/2 ft + 13 ft) + (13 ft + 28 ft)],
= 2 X (34 1/2 ft² + 19 1/2 ft² + 41 ft²),
= 2 X (95 ft²),
= 190 ft².

Question 10.
A rectangular piece of poster board measures 60 centimeters by 80 centimeters.
Linn draws the net of a box on the poster board and cuts it out.
If the box measures 10 centimeters by 16 centimeters by 27 centimeters,
what is the area of the poster board left?
Answer:
The area of the poster board left 3076 cm²,

Explanation:
Given a rectangular piece of poster board measures 60 centimeters by 80 centimeters.
Area of poster board is 60 cm X 80  cm = 4800 cm².
Linn draws the net of a box on the poster board and cuts it out.
If the box measures 10 centimeters by 16 centimeters by 27 centimeters,
the surface area of the box is
2(lw + lh + hw) = 2 X [(10 cm + 16 cm) + (16 cm + 27 cm) + (27 cm + 10 cm)],
= 2 X (160 cm² + 432 cm² + 270 cm²),
= 2 X (862 cm²),
= 1724 cm²,
therefore 4800 cm²– 1724 cm² = 3076 cm².

This handy Math in Focus Grade 5 Workbook Answer Key Chapter 15 Practice 2 Drawing Cubes and Rectangular Prisms provides detailed solutions for the textbook questions.

Math in Focus Grade 5 Chapter 15 Practice 2 Answer Key Drawing Cubes and Rectangular Prisms

Draw on dot paper.

Question 1.
Draw a unit cube.

Answer:

Explanation:
As a cube has all its sides of the same length.
A unit cube has all its sides of length 1 unit.
Shown the volume of a unit cube = Side × Side × Side,
= 1 unit × 1 unit × 1 unit,
= 1 unit cubes.

Question 2.
Draw two different views of a rectangular prism made up of 2 unit cubes.

Answer:

Explanation:
Drawn two different views of a rectangular prism made up of 2 unit cubes,
A unit cube has all its sides of length 1 unit
and 2 unit cubes shows the volume of a 2 unit cubes = 2 X (Sides × Side × Side),
= 2 X (1 unit × 1 unit × 1 unit),
= 2 unit cubes.

Question 3.
Draw two different solids made up of 3 unit cubes each.

Answer:

Explanation:
Drawn two different views of a rectangular prism made up of 3 unit cubes,
A unit cube has all its sides of length 1 unit
and 3 unit cubes shows the volume of a 3 unit cubes = 3 X (Sides × Side × Side),
= 3 X (1 unit × 1 unit × 1 unit),
= 3 unit cubes.

Draw each cube or rectangular prism on the dot paper.

Example

Question 4.

Answer:

Explanation:
Drawn one cube on the dot paper,
As given cube has 4 units shown the volume of cube =
side X side X side = 4 units X 4 units X 4 units = 64 unit cubes.

Question 5.

Answer:

Explanation:
Drawn one rectangular prism on the dot paper,
As given rectangular prism has 4 units X 4 units  X 1 unit =
16 unit cubes rectangular prism.

Question 6.

Answer:

Explanation:
Drawn one rectangular prism on the dot paper,
As given rectangular prism has 4 units X 2 units  X 2 units =
16 unit cubes rectangular prism.

Draw each cube or rectangular prism on the dot paper.

Question 7.

Answer:

Explanation:
Drawn one rectangular prism on the dot paper,
As given rectangular prism has 2 units X 2 units  X 2 units =
8 unit cubes rectangular prism.

Question 8.

Answer:

Explanation:
Drawn one rectangular prism on the dot paper,
As given rectangular prism has 3 units X 1 unit  X 1 unit =
3 unit cubes rectangular prism.

Draw a cube with edges 4 times as long as the edges of this unit cube.

Question 9.

Answer:

Explanation:
Given 1 unit cube with volume 1 unit X 1 unit X 1 unit = 1 cubic unit and
Drawn a cube with edges 4 times as long as the given edge so the volume is
4 units X 4 units X 4 units = 64 cubic units.

Complete the drawing of each cube or rectangular prism.

Question 10.

Answer:

Explanation:
Completed the drawing of given cube as shown above
which has 2 units.

Question 11.

Answer:

Explanation:
Completed the drawing of given cube as shown above
which has 3 units.

Question 12.

Answer:

Explanation:
Completed the drawing of given rectangular prism as shown above
which has 2 units.

Question 13.

Answer:

Explanation:
Completed the drawing of given cube as shown above
which has 3 units.