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Volume and Surface Area Review

Total questions: 14

Worksheet time: 42mins

Name
Class
Date
1.

Which is closest to the lateral surface area of a cylinder whose diameter is 18 feet and

whose height is 28 feet?

a)

​1,580 ft2

b)

​791 ft2

c)

​254 ft2

d)

​ 2,088 ft2

2.

A triangular prism is shown above.


What is the lateral surface area of this triangular prism in square inches?

a)

​ 128 in2

b)

​ 144 in2

c)

​ 152 in2

d)

​ 192 in2

3.

Raymond is using two containers for his Science experiment. The containers are shaped like a cylinder and a cone. The dimensions of each container are shown above.


Which statement about the volume of the cone and the cylinder is true?

a)

The volume of the cylinder is about 566 cubic inches greater than the volume of the cone.

b)

The volume of the cylinder is about 566 cubic inches less than the volume of the cone.

c)

The volume of the cylinder is about 1,131 cubic inches less than the volume of the cone.

d)

The volume of the cylinder is about 1,131 cubic inches greater than the volume of the cone.

4.

Darby is going to wrap a box shaped like the rectangular prism shown. Find the total number of square inches of wrapping paper that Darby will need. Only type the exact number for the answer.

(a)  

5.

A sphere and its dimension are shown in the diagram.


What is the volume of the sphere to the nearest tenths?

(a)  

6.

A storage container for oil is in the shape of a cylinder with a diameter of 10 ft. and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

a)

534 ft3

b)

1,335 ft3

c)

691 ft3

d)

1,696 ft3

7.

A box is shaped like a triangular prism. The triangular base and its dimensions are shown.

The box has a height of 12 inches. What is the lateral surface area of the box in square inches?

(a)  

8.

The base of a triangular prism is shown above. The height of the prism is 14 units.


What is the total surface area of the prism to the nearest tenth of a square unit?

a)

90.4 square units

b)

448.0 square units

c)

628.8 square units

d)

538.4 square units

9.

The base of the rectangular prism is shaded in the sketch above.


What is the lateral surface area of the rectangular prism?

a)

1,904 cm2

b)

3,764 cm2

c)

1,860 cm2

d)

14,280 cm2

10.

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?

a)

​V = π (6)2h​

b)

​ V = π(6h)2

c)

​V = π(12)2h​

d)

​ V = π(12)2

11.

A triangular prism has an equilateral triangle base whose sides are 6 meters. The height of the prism is 5 meters, and the height of the base is 5.2 meters.


What is the total surface area of the prism?

a)

90 m2

b)

31.2 m2

c)

121.2 m2

d)

105.6 m2

12.

A paper drinking cup is in the shape of a cone is shown above. How many cubic centimeters of water will fit inside the cone to the nearest tenths?

(a)  

13.

A cylinder has a diameter of 10 feet and a height of 12 feet. What is the total surface area of the cylinder to the nearest foot?

a)

377 ft2

b)

534 ft2

c)

754 ft2

d)

1,382 ft2

14.

Timmy covered the outside of a gift box shaped like a rectangular prism with wrapping paper. The box measures 3.2 inches long, 2.1 inches wide, and 2.7 inches in height. Which of the following is closest to the minimum amount of wrapping paper Timmy needs in order to completely cover his gift box?

a)

76 square inches

b)

29 square inches

c)

42 square inches

d)

18 square inches