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Volume of Solids

Total questions: 39

Worksheet time: 10hrs 45mins

Name
Class
Date
1.
The units for Volume are always 
a)
squared
b)
cubed
2.
Which unit could be used to express volume?
a)
Milliliters
b)
Centimeters squared
c)
Yards
d)
Cubic feet
3.
Identify this shape.
a)
cone
b)
triangular pyramid
c)
rectangular prism
d)
rectangular pyramid
4.
For what solid is this volume used.
a)
Pyramids
b)
Spheres
c)
Prisms
d)
Cylinders
5.
What is the formula for volume of a CONE?
a)
V = π r²
b)
V = π r² h
c)
V =  ⅓ π r² h
d)
V =  ⅓ L W H
6.
What is the formula for the volume of a pyramid?
a)
V = P*h
b)
V = B*h
c)
V = (1/3)P*h
d)
V = (1/3)B*h
7.
What is the volume formula for a sphere?
a)
V = (4 ∕ 3)πr3
b)
V = (1 ∕ 3)πr2h
c)
V = πr2h
d)
V = (1 ∕ 3)Bh
8.
What is the formula for volume of a CYLINDER?
a)
V = π r²
b)
V = π r² h
c)
V =  ⅓ π r² h
d)
V =  ⅓ L W H
9.
V = 4/3⋅π⋅r3
a)
Sphere
b)
Cube
c)
Triangular Pyramid
d)
Rectangular Prism
10.
V = π⋅r2⋅H
a)
Cylinder
b)
Cone
c)
Sphere
d)
Cube
11.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
12.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
13.
What is the volume?
a)
16.8 cm3
b)
50.3 cm3
c)
100.5 cm3
d)
12.6 cm2
14.
Find the volume of the following cone.
a)
489.84 m3
b)
2204.28 m3
c)
6612.84 m3
d)
244.92 m3
15.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
16.
Find the volume of the given figure.
a)
308.9 cm3
b)
308.2 cm3
c)
312.8 cm3
d)
302.9 cm3
17.

The area of a base on a rectangular prism is 30 square inches. The height of the prism is 40 inches. What is the volume of the rectangular prism?

a)

1,200 cm2

b)

12,000 cm3

c)

1,200 cm3

d)

Not enough information

18.

Soda is sold in aluminum cans that measure

4.83 inches in height and 2.6 inches in diameter. What is the approximate volume of each can?

a)

25.63 in 3

b)

26 in 3

c)

19.73 in 3

d)

95.28 in 3

19.
a)
900
b)
100
c)
300
d)
348
20.
What is the volume of the lady's cone?
a)
28.3 cm2
b)
94.2 cm3
c)
282.7 cm3
d)
113.1 cm3
21.
The laundry basket is 10 feet tall. It is 2 feet wide. The volume is 160 cubic feet. How long is the laundry basket? 
a)
20 ft. 
b)
8 ft.
c)
172 ft. 
d)
160 ft
22.

Find the volume of the solid shown.

a)

108.333 in3

b)

325 in3

c)

340.339 in3

d)

21.667 in3

23.

Todd's cube has an edge that measures 5 inches. Kara's cube has an edge of 3 inches. If Kara's cube was stacked on top of Todd's cube, what would be the total volume of the combined solid?

a)

152 in3

b)

34 in3

c)

15 in3

d)

Not enough information

24.

What is the volume of the steps shown?

a)

840 in3

b)

840 in2

c)

1,140 in3

d)

1,140 in2

25.
Find the volume.
a)
151.2
b)
163.7
c)
179.1
d)
186.3
26.

What is the volume of this figure?

a)

118 cm3

b)

150 cm3

c)

80 cm3

d)

124 cm3

27.
Find the Volume
a)
1412.4
b)
965.2
c)
1123.6
d)
1348.6
28.
Find the volume of the empty space left inside the cylinder.
a)
261.8
b)
246.3
c)
321.4
d)
1245.5
29.
When a sphere has a volume of 972π, what is the radius of the sphere?
a)
9
b)
7
c)
18
d)
21
30.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

a)

16.4 cm3

b)

31.7 cm3

c)

31.4 cm3

d)

22.0 cm3

31.

Calculate the volume

a)

523.6 ft3

b)

104.7 ft3

c)

130.9 ft3

32.
a)
40 cm³
b)
11 cm
20 cm²
c)
20 cm³
d)
30 cm³
33.

Determine the height of the cylinder.

a)

2.6 cm

b)

8.3 cm

c)

2.9 cm

34.

Determine the radius of the cone.

a)

3.0 unit

b)

9.0 units

c)

1.7 units

35.

Calculate the composite volume.

a)

48.2 cm3

b)

64.9 cm3

c)

125.7 cm3

36.

Calculate the volume

a)

452.4 in3

b)

226.2 in3

c)

150.8 in3

37.

Determine the composite volume.

a)

120 cm3

b)

102 cm3

c)

144 cm3

38.
a)
24,200 in³
b)
48,400 in³
c)
242 in³
d)
495 in³
39.

Calculate the composite volume.

a)

50.3 cm3

b)

30.6 cm3

c)

64.9 cm3