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Surface Area & Volume of Geometric Solids

Total questions: 60

Worksheet time: 4hrs 48mins

Name
Class
Date
1.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
2.

Find the area.

a)
8 ft2
b)

8 ft

c)
4 ft2
d)

4 ft

3.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
4.
Find the Surface Area.
a)

15 m2

b)

22 m2

c)

17 m2

d)

20 m2

5.

Find the area.

a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
6.

Find the area.

a)
430 in2
b)
215 in2
c)
41.5 in2
d)
1.5 in2
7.

What does d represent in the formula:

C = π·d

a)

diameter

b)

radius

c)

pi

d)

3.14

8.

What is the diameter of a circle?

a)

the distance around a circle

b)

the area of a circle

c)

halfway through a circle

d)

a line through the center of a circle

9.

What is the circumference of a circle?

a)

the distance around a circle

b)

the area of a circle

c)

halfway through a circle

d)

a line through the center of a circle

10.

Find the circumference of the circle.

a)

78.5 cm

b)

15.7 cm

c)

7.85 cm

d)

19.6 cm

11.
What is the radius of this circle?
a)
12
b)
6
c)
24
12.
What is the area of this circle?
a)

163.2 cm2

b)

15.3 cm2

c)

124.2 cm2

d)

113.1 cm2

13.
Which figure will this net make?
a)
Rectangular Prism 
b)
Triangular Prism
c)
Triangular Pyramid 
d)
Cube
14.
Which figure will this net make?
a)
Rectangular Prism 
b)
Triangular Prism
c)
Triangular Pyramid 
d)
Cube
15.
Which figure will this net make?
a)
Cone
b)
Triangular Prism
c)
Square Pyramid 
d)
Cube
16.
Which figure will this net make?
a)
Triangular Pyramid
b)
Hexagonal Pyramid
c)
Octagonal Pyramid 
d)
Cube
17.

Which net will make a cube?

a)

Net A

b)

Net B

18.

Which net will make square pyramid?

a)

Net A

b)

Net B

19.
Which net will make a triangular pyramid?
a)
Net A
b)
Net B
c)
Net C
20.
Which net will make a square pyramid?
a)
Net A
b)
Net B
c)
Net C
21.
What is the total surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
22.

Find the surface area.

a)

175.84 mm2

b)

709.89 mm2

c)

75.36 mm2

d)

100.48 mm2

23.
How many faces does this shape have?
a)
6
b)
3
c)
9
d)
5
24.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
25.
Find the surface area of the rectangular prism.
a)
140 in.2
b)
83 in.2
c)
166 in. 2
d)
100 in.2
26.
What is the surface area of this figure?
a)
200 in 2
b)
800 in 2
c)
400 in 2
d)
100 in 2
27.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
28.
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
29.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in2

b)

56.5 in2

c)

188.5 in2

d)

245.0 in2

30.
What is the total surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
31.
Find the Total Surface area of the cylinder. 
a)
62.8m
b)
477.28 cm2
c)
 235.5 cm3
d)
942 cm2
32.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
418.00 cm3
b)
139.33 cm3
c)
130.62 cm3
d)
1671.98 cm3
33.
Find the volume to the nearest tenth using 3.14 instead of Pi.
a)
282.6 in3
b)
94.2 in3
c)
235.5 in3
d)
78.5 in3
34.

What is the surface area?

a)

6658.56 mm2

b)

452.16 mm2

c)

904.32 mm2

d)

108.8 mm2

35.
Find the surface area when r=25cm.
remember to look at the units!!!!
a)
2500 cm2
b)
2500 cm3
c)
7850 cm2
d)
7850 cm3
36.

Find the surface area of the sphere, given diameter is 10.

a)

314.16 in2

b)

334 in2

c)

166.67 in2

d)

521.24 in2

37.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
38.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
39.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
40.
The formula for the Volume of ...
a)
Cylinder
b)
Cone
c)
Sphere
41.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
42.

Select the 3-D figure that can be created using the net below.

a)
b)
c)
d)
43.
a)
Rectangular Prism
b)
Cube
c)
Rectangular Pyramid
d)
Triangular Prism
44.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
124.6 in3
b)
87.9 in3
c)
97.5 in3
d)
78.9 in3
45.

Find the volume of the sphere. Use 3.14 for Pi.

Round to the nearest tenth.

a)

5572.5 cm3

b)

506.6 cm3

c)

126.7 cm3

d)

1393.1 cm3

46.

Find the volume of this triangular prism.

a)

1440 cm3

b)

60 cm3

c)

720 cm3

d)

180 cm3

47.

Find the Volume of the Sphere

a)

904.32 ft3

b)

7,234.56 ft3

c)

150.72 ft3

d)

846.50 ft3

48.

You have a globe that has a radius of 11 inches. Find the volume of your globe.

a)

523 in3

b)

16,717 in3

c)

5,575 in3

d)

7,235 in3

49.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

50.
What does the "B" in the volume formula V = Bh stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
51.

What is the volume of the following rectangular pyramid?

a)

8085 cubic meters

b)

5390 cubic meters

c)

16170 cubic meters

d)

10780 cubic meters

52.

Find the volume.

a)

147

b)

588

c)

84

d)

294

53.

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?

a)

1286 in3

b)

1455 in3

c)

1376 in3

d)

1569 in3

54.

Find the radius of a cylinder that is 20 inches tall and has a volume of 19242.24 cubic inches.

a)

16

b)

16.5

c)

17.2

d)

17.5

55.

Find the volume of the given figure.

a)

308.9 cm3

b)

328.2 cm3

c)

357.8 cm3

d)

298.9 cm3

56.

Find the volume of the figure.

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

131 cm³

57.

Find the volume of the figure:

a)

900 yd3

b)

928 yd3

c)

954 yd3

d)

1,080 yd3

58.

Which cone has the greatest volume?

a)

A

b)

B

c)

C

d)

D

59.

The figure shows a can of three tennis balls. The can is just large enough so that the tennis balls will fit inside with the lid on. The diameter of each tennis ball is 4 in. Find the volume of empty space inside the can.

a)

12.27 in3

b)

201.06 in3

c)

50.26 in3

d)

150.79 in3

60.

V = ?

a)

1,356 m3

b)

1,734 m3

c)

377 m3

d)

590 m3

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