Surface Area and Volume Worksheet

**Page 3**

21.

The base area of a rectangular prism is 4 in.^{2} and its volume 12 in.^{3} What is the height of the rectangular prism?

a. | 4 in. | ||

b. | 2 in. | ||

c. | 3 in. | ||

d. | 5 in. |

12 = 4 × height

[Substitute the values.]

[Divide each side by 4.]

Height of the rectangular prism = 3 in.

Correct answer : (3)

22.

The volume of the box is 150 in.^{3} and its height is 5 in. Find the area of the base.

a. | 40 in. ^{2} | ||

b. | 25 in. ^{2} | ||

c. | 35 in. ^{2} | ||

d. | 30 in. ^{2} |

150 = Area of the base × 5

[Substitute the values.]

[Divide each side by 5.]

Area of the base = 30 in.

Correct answer : (4)

23.

How many cubes are there in the solid?

a. | 14 | ||

b. | 16 | ||

c. | 12 | ||

d. | 10 |

Number of cubes in the top layer = 2 × 2 = 4

Total number of cubes = 8 + 4 = 12

Correct answer : (3)

24.

How many small cubes are there in the solid?

a. | 29 | ||

b. | 30 | ||

c. | 27 | ||

d. | 25 |

[Count the number of cubes in the top layer.]

Number of layers = 3

Total number of cubes = 9 × 3 = 27

Correct answer : (3)

25.

How many small cubes are there in the solid?

a. | 24 | ||

b. | 6 | ||

c. | 18 | ||

d. | 12 |

Number of layers = 2

Total number of cubes = 6 × 2 = 12

Correct answer : (4)

26.

Find the volume of a box, which is in the form of a rectangular prism, with a length of 4 m , a height of 6 m and a width of 10 m .

a. | 64 m ^{3} | ||

b. | 240 m ^{3} | ||

c. | 24 m ^{3} | ||

d. | 60 m ^{3} |

[Formula.]

Volume of the box = 4 × 6 × 10

[Substitute the values.]

= 240

[Multiply.]

So, the volume of the box is 240 m

Correct answer : (2)

27.

Find the volume of a cube whose sides measure 8 in .

a. | 8 in ^{3} | ||

b. | 16 in ^{3} | ||

c. | 512 in ^{3} | ||

d. | 64 in ^{3} |

Volume of a cube with side

[Formula.]

= 8 × 8 × 8 = 512

[Substitute and simplify.]

So, the volume of the cube is 512 in

Correct answer : (3)

28.

What is the surface area of a book 10 cm long, 5 cm wide, and 2 cm high?

a. | 120 cm ^{2} | ||

b. | 160 cm ^{2} | ||

c. | 80 cm ^{2} | ||

d. | 60 cm ^{2} |

Surface area of the book = 2 (l × w) + 2 (w × h) + 2 (l × h)

[Formula.]

= 2(10 × 5) + 2 (5 × 2) + 2 (10 × 2)

[Substitute the values.]

= 2(50) + 2(10) + 2(20)

[Multiply.]

= 160

[Simplify.]

So, the surface area of the book is 160 cm

Correct answer : (2)