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Worksheets

Volume of Prisms and Cylinders

Total questions: 15

Worksheet time: 2hrs 53mins

Name
Class
Date
1.

Find the volume of this Rectangular Prism that has two Triangular Prisms (1 on the top 1 on the bottom) . The Rectangular Prism has a height of 11 yd, a width of 5 yd, and a length of 6 yds. The Triangular Prism has a length of 6 yd, a width of 5 yd, and a height of 3 yd. Remember there are two and they are congruent.

a)

165 yd

b)

390 yd3

c)

22 yd3

d)

330 yd3

2.

Which cylinder will have a larger volume? Cylinder A has a radius of 3.5 in and a height of 8.5 in. Cylinder B has a diameter of 5.4 in and a height of 11 in.

a)

Cylinder A

b)

Cylinder B

3.

Find the volume of the cylinder with a radius of 4 cm and a height of 2.5. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

16.4 cm3

b)

31.7 cm3

c)

31.4 cm3

d)

22.0 cm3

4.

What is the volume of the Rectangular Prism with a length of 4 yd, width of 2 yd, and a height of 3 yd.

a)

9 yd3

b)

24 yd3

c)

12 yd3

d)

90 yd

5.

Find the volume of a Hexagonal Prism with a base of 4, a apothem of 8, and a height of 12.

a)

234.1 in³

b)

1,152 in³

c)

401.9 cm³

d)

5,144.6 m³

6.

A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 in. Find the volume of the fish-tank in cm. (1 in. = 2.54 cm.)

a)

10250 cm3

b)

28,575 cm3

c)

28,500cm

d)

10,250 in3

7.

Find the volume of the cylinder.

a)

4239 m3

b)

1695.6 m3

c)

1130

d)

565 cm3

8.

Find the volume of the figure. Round to the nearest tenth.

a)

79.8 cm³

b)

168.2 cm³

c)

35 cm³

d)

175 cm³

9.

Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a diameter of 12 inches. How much soup can Michael’s soup pot hold?

a)

5596.07 in3

b)

593.76 in3

c)

1695.6 in3

d)

94.5 in3

10.

A trough is filled with water. If 1 cubic foot holds 7.5 gallons, how much water will fill the trough? The trough is half of a cylinder that has a diameter of 3 ft and a height of 5 ft.

a)

21.5 gallons

b)

112.5 gallons

c)

133 gallons

d)

150 gallons

11.

What is the volume of this figure?

a)

27.5 yd3

b)

32 yd3

c)

75 yd3

d)

54.5 yd3

12.

What is the volume of this Hexagonal Prism with a apothem of 7 m, a base of 8.1 m, and a height of 21 m.

a)

7,144.2 m3

b)

110 cm

c)

3,521.5 m3

d)

3,572.1 m3

13.

Find the volume of the Triangular Prism with a height of 3 cm , a width of 8 cm , and a length of 12 cm.

a)

144 cm3

b)

288 cm3

c)

1046 m

d)

144 cm3

14.

There is a cylinder that is cut in half. It has a radius of 4 cm and a height of 10 cm. What is the volume of this cylinder.

a)

251.2 cm3

b)

102.1 m2

c)

502.4 cm3

d)

252.1 m

15.

What shape is the base? What is the area of the base (B)?

a)

96 in3

b)

120 in3

c)

80 in3

d)

48 in3