This handy Math in Focus Grade 5 Workbook Answer Key Chapter 15 Practice 4 Understanding and Measuring Volume provides detailed solutions for the textbook questions.
Math in Focus Grade 5 Chapter 15 Practice 4 Answer Key Understanding and Measuring Volume
These solids are formed by stacking unit cubes in the corner of a room.
Find the volume of each solid.
Question 1.
Volume = _________ cubic units
Answer:
Volume of give cube has 27 cubic units,
Explanation:
As we know volume of solid is l X w X h,
so given cube has 3 unit X 3 unit X 3 unit = 27 cubic units.
Question 2.
Volume = _________ cubic units
Answer:
Volume of give cube has 32 cubic units,
Explanation:
As we know the volume of solid is l X w X h,
so the given cube has 4 units X 4 units X 2 units = 32 cubic units.
Question 3.
Volume = _________ cubic units
Answer:
Volume of given cube has 16 cubic units,
Explanation:
As we know the volume of solid is l X w X h,
Given cube contains 2 fewer small unit cubes so first we
calculate the total surface and subtract missing cubic units,
Total surface area has 3 units X 2 units X 3 units = 18 cubic units.
the surface area of small unit cubes is 1 unit X 1 unit X 2 units = 2 cubic units,
therefore the volume of the given cube is 18 cubic units – 2 cubic units = 16 cubic units.
Question 4.
Volume = _________ cubic units
Answer:
Volume of 9 cubic units,
Explanation:
Given solid cube has 9 unit cubes with 1 unit X 1 unit X 1 unit each,
So the volume of given cube is 9 X (1 unit X 1 unit X 1 unit) = 9 cubic units.
These solids are formed by stacking 1-centimeter cubes in the corner of a room.
Find the volume of each solid.
Question 5.
Volume = ______ cm3
Answer:
Volume 11 cm3,
Explanation:
Given solid cube has 11 units cms with 1 cm X 1 cm X 1 cm each,
So the volume of given cubes is 11 X (1 cm X 1 cm X 1 cm) = 11 cm3.
Question 6.
Volume = _________ cm3
Answer:
Volume 8 cm3,
Explanation:
Given solid cube has 8 units cms with 1 cm X 1 cm X 1 cm each,
So the volume of given cubes is 8 X (1 cm X 1 cm X 1 cm) = 8 cm3.
Question 7.
Volume = _________ cm3
Answer:
Volume 10 cm3,
Explanation:
Given solid cube has 10 units cms with 1 cm X 1 cm X 1 cm each,
So the volume of given cubes is 10 X (1 cm X 1 cm X 1 cm) = 10 cm3.
Question 8.
Volume = ______ cm3
Answer:
Volume 12 cm3,
Explanation:
Given solid cube has 12 units cms with 1 cm X 1 cm X 1 cm each,
So the volume of given cubes is 12 X (1 cm X 1 cm X 1 cm) = 12 cm3.
Question 9.
Volume = _________ cm3
Answer:
Volume 7 cm3,
Explanation:
Given solid cube has 7 units cms with 1 cm X 1 cm X 1 cm each,
So the volume of given cubes is 7 X (1 cm X 1 cm X 1 cm) = 7 cm3.
Question 10.
Volume = _________ cm3
Answer:
Volume 11 cm3,
Explanation:
Given solid cube has 11 units cms with 1 cm X 1 cm X 1 cm each,
So the volume of given cubes is 11 X (1 cm X 1 cm X 1 cm) = 11 cm3.
These solids are built using 1-centimeter cubes. Find the volume of each solid.
Then compare their volumes and fill in the blanks.
Question 11.
Solid _________ has a greater volume than solid _________.
Answer:
Solid B has a greater volume than solid A,
Explanation:
Given solid cube A has 5 units cms with 1 cm X 1 cm X 1 cm each,
So the volume of given cubes is 5 X (1 cm X 1 cm X 1 cm) = 5 cm3,
and given solid cube B has 8 units cms with 1 cm X 1 cm X 1 cm each,
So the volume of given cubes is 8 X (1 cm X 1 cm X 1 cm) = 8 cm3.
Solid B has a greater volume than solid A.
These solids are built using 1-meter cubes. Find the volume of each solid.
Then compare their volumes and fill in the blanks.
Question 12.
Solid _________ has less volume than solid _________.
Answer:
Solid 8 m3 has less volume that solid 11 m3,
Explanation:
Given solid cube C has 8 units m’s with 1 m X 1 m X 1 m each,
So the volume of given cubes is 8 X (1 m X 1 m X 1 m) = 8 m3,
and given solid cube D has 11 units m’s with 1 m X 1 m X 1 m each,
So the volume of given cubes is 11 X (1 m X 1 m X 1 m) = 11 m3.
Solid 8 m3 has less volume that solid 11 m3.
These solids are built using 1-inch cubes.
Find the volume of each solid.
Then compare their volumes and f411 in the blanks.
Question 13.
Length = __________ in.
Width = __________ in.
Height = _________ in.
Volume = _________ in.3
Length = __________ in.
Width = __________ in.
Height = _________ in.
Volume = _________ in.3
Solid _________ has less volume than solid _________.
Answer:
Solid E has less volume than solid F,
Explanation:
Given the solid cube of E which has a length of 2 in, width 2 in and height 3 in,
so the volume of cube E is 12 in.3,
Given solid cube of F which has a length of 4 in, width of 2 in, and height of 2 in,
so volume of cube F is 16 in.3.
Solid E has less volume than solid F.
These solids are built using 1-foot cubes. Find the volumes of each solid.
Then compare their volumes and fill in the blanks.
Question 14.
Length = _____2_____ ft.
Width = ______2____ ft.
Height = _____2____ ft.
Volume = _____8____ ft.3
Length = ____4______ ft.
Width = _____4_____ ft.
Height = _____4____ ft.
Volume = _____64____ ft.3
Solid _________ has a greater volume than solid _________.
Answer:
Solid H has greater volume than solid G,
Explanation:
Given the solid cube of G which has a length 2 ft, width 2 ft, and height 2 ft,
so volume of cube G is 8 ft.3,
Given the solid cube of H which has a length 4 ft, width 4 ft and height 4 ft,
so volume of cube H is 64 in.3.
Solid H has a greater volume than solid G.