Free Printable PRE Volume and Surface Area

1.

In the formula for lateral surface area of a prism, what does the "h" stand for?

a)

The area of the base.

b)

The height of the base.

c)

The height of the prism.

d)

The perimeter of the base.

2.

In the formula for total surface area of a prism, what does the "P" stand for?

a)

The perimeter of the base.

b)

The area of the base.

c)

The perimeter of the prism.

d)

The height of the base.

3.

What is the lateral surface area of the triangular prism shown in square centimeters?

a)

112 sq cm

b)

121 sq cm

c)

211 sq cm

d)

192 sq cm

e)

129 sq cm

4.

What is the total surface area of the prism shown?

a)

238 sq in

b)

328 sq in

c)

358 sq in

d)

538 sq in

e)

382 sq in

5.

What are you being asked to solve for in the question shown?

a)

The volume of the box.

b)

The area of the base of the box.

c)

The lateral surface area of the box.

d)

The total surface area of the box.

6.

What is the total surface area for the prism shown in square meters?

a)

60 sq m

b)

72 sq m

c)

84 sq m

d)

96 sq m

7.

If you were finding the total surface area for the triangular prism shown, what would be value of B in the formula S=Ph+2B?

a)

$60\ cm^2$

b)

$40\ cm^2$

c)

$1000\ cm^2$

d)

$1120\ cm^2$

8.

Jesse needs to wrap the present shown below. How much wrapping paper would he need?
How much wrapping paper is needed?

a)

300 in²

b)

558 in²

c)

327 in²

d)

354 in²

9.

The formula for the volume of a...

a)

sphere

b)

cone

c)

cylinder

d)

cube

10.

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

a)

78.5 m³

b)

392.5 m³

c)

523.3 m³

d)

62.8 cm³

11.

Find the volume of the cylinder. Use 3.14 for pi.

a)

1177.5 ft³

b)

4712.3 ft³

c)

7069.1 ft³

d)

3534.5 ft³

12.

Find the HEIGHT of a cylinder if the volume is $160\pi$ and the radius is 4.

a)

8,042

b)

10

c)

16

d)

1.3

13.

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

a)

The volume of Ball 2 is about twice the volume of Ball 1.

b)

The volume of Ball 1 is about 8 times the volume of Ball 2.

c)

The volume of Ball 1 is about twice the volume of Ball 2.

d)

The volume of Ball 2 is about 8 times the volume of Ball 1.

14.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

15.

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 cylindrical container?

a)

V = π(9)

b)

V = $π(4.5)^2(32)$

c)

V = $π(9)^2(32)$

d)

V= $\frac{1}{3}\pi\left(4.5\right)^2\left(32\right)$

16.

Find the volume of the cone. Be sure to use the π button on your calculator. Round your answer to the nearest tenth.

a)

150.8 cm³

b)

75.4 cm³

c)

452.2 cm³

d)

151 cm³

17.

A scoop of ice cream, shaped like a sphere with diameter 6 cm, is placed in an ice cream cone with diameter 5 cm and height 10 cm. Is the cone big enough to hold all the ice cream if it melts?

a)

YES

b)

NO

c)

Maybe

d)

So

18.

A sphere has a volume of approximately 113 cubic inches. Which of the following best represents the radius of the sphere?

a)

4 units

b)

2 units

c)

3 units

d)

5 units

19.

A cylinder and its dimensions are as follows: diameter of 5 inches and height of h inches. Which equation can be used to find V, the volume of the cylinder in cubic inches?

a)

V = 3.14 (2.5h)²

b)

V = 3.14 (5h)²

c)

V = 3.14(2.5)²h

d)

V = 3.14(5)²h

20.

What is the radius in the cylinder?

a)

$3\ in$

b)

$6\ in\$

c)

$12\ in$

d)

$24\ in$

21.

What is the volume of the cone expressed in terms of pi?

V=\frac{1}{3}\pi r^2h

a)

$144\pi\ in^3$

b)

$24\pi\ in^3$

c)

$48\pi\ in^3$

d)

$36\pi\ in^3$

22.

What is the volume of the sphere, expressed in terms of pi?

V=\frac{4}{3}\pi r^3

a)

$81\pi\ in^3$

b)

$729\pi\ in^3$

c)

$972\pi\ in^3$

d)

$36\pi\ in^3$

23.

Find the HEIGHT of a cylinder if the volume is $160\pi$ and the radius is 4.

a)

8,042

b)

10

c)

16

d)

1.3

24.

What is the volume of the cylinder expressed in terms of pi?

$V=\pi r^2h$

a)

$180\pi\ cm^3$

b)

$1200\pi\ cm^3$

c)

$120\pi\ cm^3$

d)

$60\pi\ cm^3$

25.

Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for pi

a)

1442

b)

1704.1

c)

1523.7

d)

3052.1

PRE Volume and Surface Area

Total questions: 25

Worksheet time: 3hrs 26mins

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