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

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.