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Surface Area & Volume Practice

Total questions: 70

Worksheet time: 6hrs 50mins

Name
Class
Date
1.

How do you find the Surface Area of a Right Prism?

a)

12Pl +B\frac{1}{2}Pl\ +B

b)

Lateral Area + Area of Bases

c)

Perimeter * Height

d)

4πr24\pi r^2

2.

How do you find the Surface Area of a Regular Pyramid?

a)

12Pl + B\frac{1}{2}Pl\ +\ B

b)

Lateral Area + Area of Bases

c)

Perimeter * Height

d)

4πr24\pi r^2

3.

What is the "L" in the surface area formulas for pyramids and cones?

a)

lateral height

b)

height or altitude

c)

slant height

d)

sinusoidal height

4.

What is the surface area of this figure?

a)

700 in2

b)

800 in 2

c)

600 in 2

d)

650 in 2

5.

A cube's side length measures 15 inches.  What is the surface area of the cube?

a)

225 in2

b)

1350 in2

c)

3375 in2

d)

1125 in2

6.

Find the surface area of the sphere.

a)

48π mm2

b)

144π mm2

c)

72π mm2

d)

134π mm2

7.

Find the lateral area of the figure.

a)

96 ft2

b)

192 ft2

c)

84 ft2

d)

108 ft2

8.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
9.

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

10.

Given a cylinder with a surface area of 2543 cm2 and radius of 9 cm, calculate the height of this cylinder to the nearest cm.

a)

36 cm

b)

45 cm

c)

10 cm

d)

283 cm

11.

Calculate the surface area.

a)

12 m2

b)

8 m2

c)

24 m2

d)

20 m2

12.

Calculate the surface area.

a)

65π cm2

b)

90π cm2

c)

85π cm2

d)

70π cm2

13.

A sphere has a surface area of 314.25 ft2. What must the radius be, rounded to the nearest foot?

a)

5 ft

b)

6 ft

c)

12 ft

d)

10 ft

14.

Calculate the surface area of the given prism.

a)

316 cm2

b)

352 cm2

c)

440 cm2

d)

292 cm2

15.

What is the surface area of this composite figure?

a)

60π cm 2

b)

45π cm 2

c)

57π cm 2

d)

48π cm 2

16.

What is the surface area of this figure?

a)

200 cm 2

b)

800 cm 2

c)

400 cm 2

d)

1500 cm 2

17.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a surface area of 650 cm2. What is the height of the brick?

a)

20 cm

b)

43 cm

c)

14 cm

d)

10 cm

18.

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

19.

Given a cylinder with a surface area of 2543 cm2 and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.

a)

36.0 cm

b)

45.0 cm

c)

10 cm

d)

282.6 cm

20.

Calculate the surface area.

a)

54 m2

b)

96 m2

c)

99 m2

d)

61 m2

21.

Calculate the surface area of the pyramid.

a)

228 m2

b)

144 m2

c)

300 m2

d)

156 m2

22.

Calculate the surface area.

a)

12.0 m2

b)

8.0 m2

c)

5.3 m2

d)

20.0 m2

23.

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label?

a)

75.40 in2

b)

75.40 in

c)

175.93 in

d)

175.93 in2

24.

Calculate the surface area.

a)

904.78 mm2

b)

452.39 mm2

c)

3,216.99 mm2

d)

3,392.92 mm2

25.

Calculate the surface area.

a)

56.5 in2

b)

91.5 in2

c)

169.56 in2

d)

28.3 in2

26.

Which measurement is closest to the difference between the surface areas of the these two bins? Round to the nearest square foot.

a)

1,257 ft2

b)

4,400 ft2

c)

11,717 ft2

d)

3,143 ft2

27.

Choose the correct statement.

a)

Cylinder A has a greater surface area than Cylinder B.

b)

Cylinder B has a greater surface area than Cylinder A.

c)

Cylinder A and Cylinder B have the same surface area.

28.

An ice cream cone has a radius of 2 inches and a slant height of 10 inches. What is the surface area of this cone?

a)

75.4 in2

b)

12.6 in2

c)

125.7 in2

d)

150.8 in2

29.

A party hat has a diameter of 18 centimeters and a slant height of 7 centimeters. Calculate the amount of material it takes to make this party hat.

a)

197.9 cm2

b)

395.8 cm2

c)

254.5 cm2

d)

452.4 cm2

30.

A sphere has a surface area of 540.2 ft2. What must the radius be, rounded to the nearest hundredth?

a)

6.6 ft

b)

15.5 ft

c)

5.2 yards

d)

31 yards

31.

Calculate the surface area of the given prism.

a)

316 cm2

b)

352 cm2

c)

440 cm2

d)

292 cm2

32.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
33.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
34.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
35.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
36.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
37.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
38.
Find the surface area
a)
60.4 m2
b)
188.49 m2
c)
94.24 m2
d)
881.94 m2
39.
Find the surface area  of the sphere.
a)
310.2 cm2
b)
379.2 cm2
c)
221.6 m2
d)
456  cm2
40.

Find the surface area of the cone. Round your answers to the nearest tenth, if necessary.

a)

233.2 cm²

b)

259 cm²

c)

93.2 cm²

d)

240 cm²

41.
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
42.
The volume of a cylinder of radius 'r' and height 'h' is
a)
π r2 h cu.unit
b)
2π r2 h cu.unit
c)
2π r h cu.unit
d)
π r h(r + h) cu.unit
43.
The volume of a sphere  of radius 'r'  is
a)
4π r3  cu.unit
b)
2π r3  cu.unit
c)
2/3π r3  cu.unit
d)
 4/3π r3cu.unit
44.
The volume of a hemisphere  of radius 'r'  is
a)
4π r3  cu.unit
b)
2π r3  cu.unit
c)
2/3π r3  cu.unit
d)
 4/3π r3cu.unit
45.
The surface area  of a sphere  of radius 'r'  is
a)
4π r2  sq.unit
b)
2π r2  sq.unit
c)
2/3π r3  sq.unit
d)
 4/3π r3 sq.unit
46.
The total surface area  of a hemisphere  of radius 'r'  is
a)
4π r2  sq.unit
b)
2π r2  sq.unit
c)
3π r2  sq.unit
d)
 4/3π r3 sq.unit
47.
The lateral surface area of a cylinder of radius 'r' and height 'h' is
a)
π r2 h sq.unit
b)
2π r2 h sq.unit
c)
2π r h sq.unit
d)
π r h(r + h) sq.unit
48.
The total surface  area of a cylinder of radius 'r' and height 'h' is
a)
π r2 h sq.unit
b)
2π r2 h sq.unit
c)
2π r (r+h)sq.unit
d)
π r h(r + h) sq.unit
49.
The total surface  area of a Cone of radius 'r' , slant height 'l'and height 'h' is
a)
π l (r+l) sq.unit
b)
π r2 h sq.unit
c)
2π r (r+h)sq.unit
d)
π r (r + l) sq.unit
50.
The lateral surface  area of a Cone of radius 'r' , slant height 'l'and height 'h' is
a)
π l (r+l) sq.unit
b)
π r2 h sq.unit
c)
2π r h sq.unit
d)
π r l sq.unit
51.
The volume of a Cone of radius 'r' , slant height 'l'and height 'h' is
a)

π r2 h cu.unit

b)

⅓ π r2 h cu.unit

c)

2π r h cu.unit

d)

π r l cu.unit

52.

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? If necessary, round to the nearest whole number.

a)

1286 in3

b)

1455 in3

c)

1476 in3

d)

1569 in3

53.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
120 ft3
b)
96 ft3
c)
288 ft3
d)
 192 ft3
54.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

55.

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

a)

46.8 yd3

b)

280.8 yd3

c)

177.8 yd3

d)

842.4 yd3

56.

Find the volume. Round to the nearest tenth.

a)

62.4 in3

b)

1123.2 in3

c)

374.4 in3

d)

429.2 in3

57.

Find the surface area of the figure. Round to the whole number.

a)

308 mi2

b)

297 mi2

c)

219 mi2

d)

225 mi2

58.

Find the surface area of the figure. Round to the nearest tenth.

a)

251.4 mi2

b)

448.2 mi2

c)

349.1 mi2

d)

329.4 mi2

59.
What shape is this?
a)
Cube
b)
Triangular Prism
c)
Rectangular Pyramid
d)
Cone
60.

What is the main difference between Prisms and Pyramids?

a)

A prism has 2 bases and a pyramid has 1 base.

b)

A prism has to have all 90 degree sides and a pyramid doesn't

c)

A prism must have a least one curved line and a pyramid doesn't

d)

A prism must be 3-d but a pyramid shouldn't

61.

All of the faces on a pyramid that are NOT the base must be

a)

rectangles

b)

triangles

c)

squares

62.
This is a...
a)
pentagonal prism
b)
rectangular prism
c)
pentagonal pyramid
d)
hexagonal prism
63.
What is the name of this polyhedron?
a)
hexagonal pyramid
b)
pentagonal pyramid
c)
pentagonal prism
d)
hexagonal prism
64.

Name this polyhedron

a)

square pyramid

b)

triangular prism

c)

pentagonal prism

d)

pentagonal pyramid

65.
What 3D shape looks like a ball?
a)
Sphere
b)
Cylinder
c)
Cone
d)
Cube
66.
What is the name of this 3D solid?
a)
Cone
b)
Triangular Prism
c)
Hexagonal Pyramid
d)
Cylinder
67.
What is the name of this 3D solid?
a)
Cone
b)
Square Pyramid
c)
Triangular Prism
d)
Hexagonal Pyramid
68.

A cylindrical container has a diameter of 12 inches and a height of 15 inches. What is the volume of this container to the nearest tenth?

a)

4,241.2

b)

1,696.5

c)

2,160.0

d)

6,785.8

69.
What is the total volume of this figure?
a)
60
b)
100
c)
120
d)
300
70.
Which equation would you use to find the volume of this composite figure? 
a)
83 + 4/3π(8)³
b)
83 + 4/3π(4)³
c)
83 + (1/2)(4/3)π(4)³

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