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 cm^{3},

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 cm^{3}.

Question 1.

Length = _____12_______ ft

Width = _______12_____ ft

Height = _______20_____ ft

Answer:

Volume of the recangular prism is cube is 2,880 ft^{3},

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 ft^{3}.

Question 2.

Length = ____12________ in.

Width = ______25______ in.

Height = _______16_____ in.

Answer:

Volume of the recangular prism is 4,800 in^{3},

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 in^{3}.

Question 3.

Length = _____18_______ m

Width = ______18______ m

Height = ______18______ m

Answer:

Volume of the cube is 5832 m^{3},

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 m^{3}.

**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______ cm^{3}

Answer:

Volume of the recangular prism is cube is 540 cm^{3},

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 cm^{3}.

Question 5.

Volume = _____24_______in^{3}

Answer:

Volume of the recangular prism is 24 in^{3},

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 in^{3}.

Question 6.

Volume = _____120_______ yd^{3},

Answer:

Volume of the recangular prism is 120 yd^{3},

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 yd^{3}.

**Find the volume of each rectangular prism or cube.**

Question 7.

Volume = _____120_______ft^{3},

Answer:

Volume of the recangular prism is cube is 120 ft^{3},

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 ft^{3}.

Question 8.

Volume = ______4,096______m^{3},

Answer:

Volume of the cube is 4,096 m^{3},

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 m^{3}.

Question 9.

Volume = _____384_______cm^{3},

Answer:

Volume of the recangular prism is cube is 384 cm^{3},

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 cm^{3}.

Question 10.

Volume = _____189_______ in^{3},

Answer:

Volume of the recangular prism is 189 in^{3},

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 in^{3}.

Question 11.

Volume = ______448______ in^{3},

Answer:

Volume of the recangular prism is 448 in^{3},

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 in^{3}.

Question 12.

Volume = _____120_______ m^{3},

Answer:

Volume of the recangular prism is 120 m^{3},

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 m^{3}.

**Find the volume of each rectangular prism.**

Question 13.

Length = 5 cm

Width = 12 cm

Height = 9 cm

Volume = ______540_______ cm^{3},

Answer:

Volume of the recangular prism is 540 cm^{3},

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 cm^{3}.

Question 14.

Length = 10 in.

Width = 25 in.

Height = 14 in.

Volume = ______3,500_______ in^{3},

Answer:

Volume of the recangular prism is 3,500 in^{3},

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________ m^{3},

Answer:

Volume of the recangular prism is 672 m^{3},

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 m^{3}.

Question 16.

Length = 24 ft

Width = 10 ft

Height = 15 ft

Volume = ______3,600_______ ft^{3},

Answer:

Volume of the recangular prism is 3,600 ft^{3},

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 ft^{3}.

**Solve. Show your work.**

Question 17.

Find the volume of a cube with edges measuring 9 centimeters.

Answer:

Volume of the cube is 729 cm^{3},

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 cm^{3}.

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 ft^{3},

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 ft^{3}.

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 in^{3},

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 in^{3}.