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Volumes of Prisms and Cylinders (V2)

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.
Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?
a)
6 cubic inches
b)
8 cubic inches
c)
12 cubic inches
d)
8 square inches
2.

Click the PLAY button to hear the question.

a)

ft1

b)

ft2

c)

ft3

d)

ft4

3.

What is the shape of the base? What is the area of the base?

a)

Rectangle; 60in2

b)

Triangle; 12 in2

c)

Rectangle; 32 in2

d)

Triangle; 6 in2

4.

Find the Volume

a)

896 ft3

b)

2814.87 ft2

c)

896 ft2

d)

2814.87 ft3

5.

Find the volume

a)

1300 in3

b)

650 in3

c)

1300 in2

d)

650 in2

6.

Find the volume

a)

88 in2

b)

88 in3

c)

352 in3

d)

352 in2

7.

What is the formula used to find the volume of a rectangular prism?

a)

V = Lw

b)

V = area of b x h

c)

V = 1/2 area of b x h

d)

V = 2πr

8.

Sheila believes that the two cylinders shown in the diagram below have equal volumes. Is Sheila correct or incorrect? Select ALL that apply.

a)

Sheila is incorrect. The volumes of both cylinders are not equal.

b)

Sheila is incorrect. One of the cylinders is tilted.

c)

Sheila is correct. When two cylinders have the same base areas and the same height, their volumes must be the same.

d)

Sheila is correct. Both cylinders radii and height are equal, so their volumes are the same.

e)

Sheila is correct. Using Cavalieri’s Principle and the formula v=Bhv=Bh or v=πr2hv=\pi r^2h proves the volumes of the cylinders are equal.

9.
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
10.
The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?
a)
24,280 cubic feet
b)
16,430 cubic feet
c)
11,720 cubic feet
d)
4,480 cubic feet