Free Printable Area, Surface Area and Volume Word Problems

Worksheets

Area, Surface Area and Volume Word Problems

Total questions: 18

Worksheet time: 58mins

Name

Class

Date

A paper party hat, has a slant height of 6 inches and a height of 5 inches. How many square feet of poke-dot paper would be needed to create this hat?

62.5 in.²

10 in.²

50 in.²

22.5 in.²

It is snowing and salt trucks are dumping a mixture to help. When the mixture is dumped from a truck, it forms a mound with a conical shape. If the mound has a diameter of 15 feet and a height of 10 feet, how much salt-sand mixture is there?

1,767 ft³

7,068.5 ft³

589 ft³

4,417.9 ft³

The height of a cone is equal to two times the radius of the base. If the base has an area of 25π, what is the volume of the cone?

83.3π

250π

If a hemisphere has V=18π, what is the value of the radius?

13.5

108

If a cone has V = 602 cm^3 and a height of 36, what is the value of the radius?

16.7

50.2

Sarah needs a PVC cylinder pipe with a diameter of 10 inches and a height of 2 inches, how much material is needed to make 5 pipes?

62.8 inches ²

219.8 inches ²

314 inches ²

422 inches ²

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

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 rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

176.6 ft³

141.3 ft³

88.3 ft³

70.7 ft³

10.

Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.

58.29 cm²

58.29 cm³

233.15 cm²

233.15 cm³

11.

A deflated basketball is only 25% filled with air. Calculate how much air must be pumped into a basketball with a diameter of 6 inches.

113.04 in³

28.3 in³

84.7 in³

113.04 in²

339.12 in²

12.

A cylindrical nerf shark tank at the Houston Aquarium has a height of 90 feet and a diameter of 30 feet. How much water is needed to fill HALF of the tank.

Use 3.14 for π.

63,585 ft³

9896.02 ft²

22,619 ft²

31,792.5 ft³

13.

Jerzy’s grandma brought him back a snow globe from California with a diameter of 30 cm. How much wrapping paper was needed to wrap it?

Use 3.14 for π.

2,826 cm²

11,304 cm²

14,130 cm³

113,040 cm³

14.

Shelby just bought a giant beach ball that is 72 in across the center. How much air will she need to fill it?

3.14 for π.

1,562,660 in³

195,333 in³

5,425.92 in³

16,278 in²

65,111 in²

15.

The surface area of a sphere is 11,304 m². What is the volume of the sphere? Use 3.14 for pi. Round your answer to the nearest cubic meter.

22,608 m³

113,040 m³

381,510,000 m³

Not Enough Information

16.

V = ?

1,356 m³

1,734 m³

377 m³

590 m³

17.

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.

502.4 in³

167.5 in³

251.2 in³

83.7 in³

18.

A sphere has the volume of 905 cm rounded to the nearest whole number. What is the radius of the sphere?

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Area, Surface Area and Volume Word Problems

Total questions: 18

Worksheet time: 58mins

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