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Worksheets

Volume and SA Word Problems

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Campbell soup is creating a new label for their soup cans. If the can has a height of 6 in. and a diameter of 4 in, how big does the soup label need to be?

a)

75.4 sq in.

b)

12.6 sq in.

c)

97 sq in.

d)

100.5 sq in.

2.

How many cubic feet of warehouse space are needed for 450 boxes 16 in. by 8 in. by 10 in.? Round to the next whole number

a)

334 cubic ft

b)

48,000 cubic ft

c)

5,238 cubic ft

d)

79 cubic ft

3.

How many cubic feet of water are needed to fill a swimming pool that approximates the shape in the figure? Round to the nearest gallon.

a)

94,248 cubic feet

b)

12, 600 cubic feet

c)

1,684 cubic feet

d)

39,027 cubic feet

4.

Chloe wants to wrap a present in a box for Sarah. The top and bottom of the box is 8 in by 3 in, the sides are both 3 in. by 2 in., and the front and back are 8 in. by 2 in. How much wrapping paper will Chloe need to wrap the present?

a)

92 sq in.

b)

48 sq in.

c)

80 sq in.

d)

46 sq in.

5.

The roof of a building is in the shape of a square pyramid 25 m on each side. If the slant height of the pyramid is 18 m, how much will roofing material cost at $10.23 per sq m?

a)

$900

b)

$225

c)

$9,207

d)

2, 301.75

6.

The Last Chance gambling casino is designed in the shape of a square pyramid with a side length of 75 ft. The height of the building is 32 ft. An air-filtering system can circulate air at 20,000 cubic feet per hour. How long will it take the system to filter all the air in the room? Round to the nearest whole number.

a)

3 hours

b)

4 hours

c)

2 hours

d)

5 hours

7.

What is the capacity in gallons of a cylindrical tank with a radius of 8 ft and an altitude of 20 ft? (There are 7.48 gallons in 1 cubic foot). Round to the nearest whole number.

a)

30,078 gallons

b)

4,021 gallons

c)

92,572 gallons

d)

7,630 gallons

8.

The top of a silo is a hemisphere with a diameter of 18 feet. It is to be painted with exterior weatherproofing paint. If a gallons of paint covers 280 square feet, how many gallons of paint is needed for two coats?

a)

508.9 gallons

b)

1.8 gallons

c)

3.6 gallons

d)

10.5 gallons

9.

Decorative Moon Rocks cost $92 per cubic yard. What will be the cost of a conical pile of this rock  3 133\ \frac{1}{3}  yd in diameter and  2 142\ \frac{1}{4}  yd high? Round to the nearest whole dollar.

a)

$230

b)

$690

c)

$307

d)

$215

10.

A vat in the shape of a hemisphere with an 18-inch inside diameter contains liquid. What is the capacity of the vat in gallons? There are 231 cubic inches per gallon. Round your answer to two decimal places.

a)

3,053.63 gallons

b)

1,526.81 gallons

c)

6.61 gallons

d)

13.22 gallons