Free Printable Volume and Surface Area

Worksheets

Volume and Surface Area

Total questions: 20

Worksheet time: 45mins

Name

Class

Date

How do you find the volume of a cylinder?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

How do you find the volume of a cone?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

How do you find the volume of a sphere?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

Which figure has a volume of 45π ft³?

Cylinder with a height of 5ft and diameter of 6 ft

Sphere with a radius of 3 ft

Cone with a radius of 3 feet and height of 5 ft

Sphere with a diameter of 5 feet

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

1,676 mm³

18,850 mm³

33,510.3 mm³

268,083 mm³

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

377 cubic feet

942 cubic feet

2,958 cubic feet

3,768 cubic feet

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

The volume of Ball 2 is twice the volume of Ball 1.

The volume of Ball 1 is 8 times the volume of Ball 2.

The volume of Ball 1 is twice the volume of Ball 2.

The volume of Ball 2 is 8 times the volume of Ball 1.

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

600 in³

1,885 in³

3,140 in³

12,566 in³

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

21 cubic inches

63 cubic inches

66 cubic inches

198 cubic inches

10.

A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere? Use π=3.14.

261,000

2,351,000

18,810,000

41,210,000

11.

Find the Volume if the height is 10 cm and radius 3 cm?

250

200

283

180

12.

What is the difference between lateral and total surface area?

Total surface area solves for perimeter of all the sides where lateral solves for area.

Total surface area is the sum of the area of all the sides where lateral surface area is the sum of the area of only the sides. (Not including the bases or top and bottom).

Total surface area can only be used for prisms and lateral surface area can only be used for cylinders and cones.

None of the above.

13.

Find the total surface area of the prism.

48 square inches

64 square inches

88 square inches

76 square inches

14.

Find the total surface area of the cylinder.

471.24 square centimeters

157.08 square centimeters

314.16 square centimeters

296.72 square centimeters

15.

A cylindrical candle has a diameter of 4 inches and a height of 7 inches. What is the total surface area of the candle in terms of pi?

113π

276π

88π

36π

16.

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Use 3.14 for π.

What is the surface area of the label?

150.72 in²

100.48 in²

24 in²

75.36 in²

17.

What is the surface area of this figure?

3000 cm ²

164 cm ²

236 cm ²

328 cm²

18.

A classroom, in the shape of a rectangular prism, has two walls that are each 20 feet long, and two walls that are 25 feet long. The height, from the floor to the ceiling, is 9 feet. You need to paint the walls of the room with two coats of paint. How much area will you paint, after applying BOTH coats of paint?

810 ft²

1620 ft²

1310 ft²

1360 ft²

19.

Solve for lateral surface area?

576 in²

1536 in²

48 in²

384 in²

20.

Solve for lateral surface area?

864 in²

832 in²

20,736 in²

2,367 in²

100 %

Volume and Surface Area

Total questions: 20

Worksheet time: 45mins

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