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 cm^{3} = ____________

Answer:

690 cm^{3} = 690 milliliters,

Explanation:

Given 690 cm^{3} to measure in milliliters,

as 1 cubic centimeter is equal to 1 milliliters

so 690 cm^{3} = 690 X 1 milliliters = 690 milliliters.

Question 2.

207 cm^{3} = ____________

Answer:

207 cm^{3} = 207 milliliters,

Explanation:

Given 207 cm^{3} to measure in milliliters,

as 1 cubic centimeter is equal to 1 milliliters

so 207 cm^{3} = 207 X 1 milliliters = 207 milliliters.

Question 3.

2,000 cm^{3} = ____________

Answer:

2,000 cm^{3} = 2,000 milliliters,

Explanation:

Given 2,000 cm^{3} to measure in milliliters,

as 1 cubic centimeter is equal to 1 milliliters

so 2,000 cm^{3} = 2,000 X 1 milliliters = 2,000 milliliters.

Question 4.

4,600 cm^{3} = ____________

Answer:

4,600 cm^{3} = 4,600 milliliters,

Explanation:

Given 4,600 cm^{3} to measure in milliliters,

as 1 cubic centimeter is equal to 1 milliliter

so 4,600 cm^{3} = 4,600 X 1 milliliters = 4,600 milliliters.

**Write each measure in cubic centimeters.**

Question 5.

420 mL = ________cm^{3},

Answer:

420 ml = 420 cm^{3},

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 cm^{3} .

Question 6.

568 mL = ____________cm^{3},

Answer:

568 ml = 568 cm^{3},

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 cm^{3} .

Question 7.

3 L = ____________cm^{3},

Answer:

3 L = 3,000 X 1 ml = 3,000 cm^{3},

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 cm^{3} .

Question 8.

15 L = ___cm^{3},

Answer:

15 L = 15,000 X 1 ml = 15,000 cm^{3},

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 cm^{3} .

Question 9.

2 L 125 mL = ___________cm^{3},

Answer:

2 L 125 mL = 2,125 X 1 cubic centimeters = 2,125 cm^{3},

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 cm^{3} .

Question 10.

5 L 60 mL = ____________cm^{3},

Answer:

5 L 60 mL = 5,060 X 1 cm = 5,060 cm^{3},

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 cm^{3}.

Question 11.

10 L 50mL = _______cm^{3},

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 cm^{3} .

Question 12.

7 L 2mL = ____________cm^{3},

Answer:

7 L 2 mL = 7,002 cm^{3},

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 cm^{3}.

**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 cm^{3} = ____________milliliters^{3},

Answer:

720 cm^{3} = 720 milliliters^{3},

Explanation:

Given 720 cm^{3} to measure in cubic centimeters,

as 1 cubic centimeter is equal to 1 milliliters

so 720 cm^{3 }= 720 X 1 cubic centimeters = 720 milliliters.

Question 14.

7,000 cm^{3} = _________,

Answer:

7,000 cm^{3} = 7 L ,

Explanation:

Given 7,000 cm^{3} 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 cm^{3 }= 7,000 X 1 milliliters = 7 X 1,000 milliliters = 1 L.

Question 15.

2,050 cm^{3} = ___________

Answer:

2,050 cm^{3} = 2 L 50 mL ,

Explanation:

Given 2,050 cm^{3} 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 cm^{3 }= 2,050 X 1 milliliters = 2 X 1,050 milliliters = 2 L, 50 mL.

Question 16.

1,470 cm^{3} = ____________

Answer:

1,470 cm^{3} = 1 L 470 mL ,

Explanation:

Given 1,470 cm^{3} 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 cm^{3 }= 1,470 X 1 milliliters = 1 X 1,470 milliliters = 1 L, 470 mL.

Question 17.

9,801 cm^{3} = ____________

Answer:

9,801 cm^{3} = 9 L 801 mL ,

Explanation:

Given 9,801 cm^{3} 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 cm^{3 }= 9,801 X 1 milliliters = 9 L X 801 milliliters = 9 L, 801 mL.

Question 18.

4,003 cm^{3} = ____________

Answer:

4,003 cm^{3} = 4 L 3 mL ,

Explanation:

Given 4,003 cm^{3} 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 cm^{3 }= 4,003 X 1 milliliters = 4 L X 3 milliliters = 4 L, 3 mL.

Question 19.

10,600 cm^{3} = ____________

Answer:

10,600 cm^{3} = 10,600 mL ,

Explanation:

Given 10,600 cm^{3} 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 cm^{3 }= 10,600 X 1 milliliters = 10 L X 600 milliliters = 10 L, 600 mL.

Question 20.

1,075 cm^{3} = _____1 L 075 mL_______

Answer:

1,075 cm^{3} = 1 L 075 mL ,

Explanation:

Given 1,075 cm^{3} 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 cm^{3 }= 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 cm ^{3} = 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 cm^{3}

as 1 cubic centimeter is equal to 1 milliliters,

so, 288 cm^{3 }= 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 cm^{3}

as 1 cubic centimeter is equal to 1 milliliters,

so 315 cm^{3 }= 315 mL.

**Find the volume of water in each rectangular tank in liters and milliliters.
(Hint: 1,000 cm ^{3} = 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 cm^{3} ,

1,000 cm^{3} 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 cm^{3 }= 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 cm^{3} ,

1,008 cm^{3} 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 cm^{3 }= 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 cm^{3} ,

1,458 cm^{3} 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 cm^{3 }= 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 cm^{3} ,

1,456 cm^{3} 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 cm^{3 }= 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 cm^{3},

Explanation:

Given rectangular tank has volume with dimensions 12 cm X 6 cm X 9 cm = 648 cm^{3},

water in the tank is \(\frac{1}{3}\),

So \(\frac{1}{3}\) X 648 cm^{3 }= 218 cm^{3}.

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 cm^{3},

Explanation:

Given rectangular tank has volume with dimensions 18 cm X 12 cm X 6 cm = 1,296 cm^{3 }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 cm^{3},

Therefore more water is needed to fill the tank completely is 1,296 cm^{3}– 864 cm^{3 }= 432 cm^{3}.

**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 cm^{3},

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 cm^{3},

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 cm^{3 }= 1,120 cm^{3},

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 cm^{3},

Container is half-filled with oil so volume of oil in the container is

\(\frac{1}{2}\) X 3,724 cm^{3 }= 1,862 cm^{3 }= 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 cm^{3},

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 cm^{3 }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 cm^{3 },

therefore, water left in the cubical tank is 1,728 cm^{3 }– 560 cm^{3 }= 1,168 cm^{3}.

**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 cm^{3},

Explanation:

Given large rectangular tank has volume with dimensions 15 cm X 15 cm X 12 cm = 2,700 cm^{3},

The large rectangular tank shown is \(\frac{4}{5}\) filled with water

therefore tank has \(\frac{4}{5}\) X 2,700 cm^{3 }=

\(\frac{4 X 2,700}{5}\) cm^{3 }= 2,160 cm^{3}.

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 cm^{3},

Water left in the tank is 2,160 cm^{3}– 2,40 cm^{3}= 1,920 cm^{3}.

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 cm^{3 }= 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.