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 = ______ cm^{3}

Answer:

Volume 11 cm^{3},

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 cm^{3}.

Question 6.

Volume = _________ cm^{3}

Answer:

Volume 8 cm^{3},

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 cm^{3}.

Question 7.

Volume = _________ cm^{3}

Answer:

Volume 10 cm^{3},

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 cm^{3}.

Question 8.

Volume = ______ cm^{3}

Answer:

Volume 12 cm^{3},

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 cm^{3}.

Question 9.

Volume = _________ cm^{3}

Answer:

Volume 7 cm^{3},

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 cm^{3}.

Question 10.

Volume = _________ cm^{3}

Answer:

Volume 11 cm^{3},

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 cm^{3}.

**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 cm^{3},

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 cm^{3}.

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 m^{3 }has less volume that solid 11 m^{3},

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 m^{3},

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 m^{3}.

Solid 8 m^{3 }has less volume that solid 11 m^{3}.

**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.