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Worksheets

Surface Area and Volume of Prisms / Cylinders Cones

Total questions: 25

Worksheet time: 2hrs 0mins

Name
Class
Date
1.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
2.
Lucia has a triangular prism that has a length of 6cm and the width of 4cm and the height is 8cm. What is the volume
a)
96cm³
b)
54cm³
c)
80cm³
d)
24cm³
3.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
4.
Find the surface area
a)
140.25 cm^2
b)
439.82 cm^2
c)
219.91 cm^2
d)
192.25 cm^2
5.

Find the Surface Area

a)

500 ft2

b)

515 ft2

c)

525 ft2

d)

510 ft2

6.
Find the lateral surface area of the cylinder.
a)
471.24 square centimeters
b)
157.08 square centimeters
c)
314.16 square centimeters
d)
296.72 square centimeters
7.
What is the area of the base?
a)
300
b)
150
c)
457500
d)
250
8.
Find the volume.
a)
10,712 cm3
b)
10,714 cm3
c)
10,718 cm3
d)
10,716 cm3
9.
What is a prism?
a)
A 3-D figure with parallel bases
b)
A 3-D figure where all sides except the base intersect at a point called the vertex
c)
A 3-D figure with a circular base
10.

Find the surface area of the rectangular prism.

a)

94 cm. squared

b)

60 cm. squared

c)

47 cm. squared

d)

70 cm. squared

11.

What is the surface area?

a)

90 in2

b)

180 in2

c)

126 in2

d)

96 in2

12.

Find the volume of the cylinder.
Leave your answer in terms of π\pi  

a)

90π90\pi cubic inches

b)

30π30\pi  cubic inches

c)

78π78\pi  cubic inches

d)

180π180\pi  cubic inches

13.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

c)

They are the same volume.

14.

Which example requires you to find the surface area?

a)

Finding out how much water will fill a cylinder

b)

Finding out how much wrapping paper is needed to cover a present

c)

Finding the amount a container can hold

d)

Finding out how much wood is needed to fill a fire place.

15.
What is volume?
a)
The amount of space of a 2-D object
b)
The amount of space in a 3-D object
c)
Water
d)
Area
16.

10. A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.

a)

10250 cm3

b)

11250 cm3

c)

10000 cm3

d)

11050 cm3

17.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
18.

What is the formula for VOLUME of a CONE?

a)

V = 13BhV\ =\ \frac{1}{3}Bh

b)

V = BhV\ =\ Bh

c)

V = πr2V\ =\ \pi r^2

d)

V = bhV\ =\ bh

19.

What is the formula for VOLUME of a CYLINDER?

a)

V = BhV\ =\ Bh

b)

V = 13BhV\ =\ \frac{1}{3}Bh

c)

V = bhV\ =\ bh

d)

V = πr2V\ =\ \pi r^2

20.

What is the formula for AREA of a CIRCLE?

a)

A = πr2A\ =\ \pi r^2

b)

A = πdA\ =\ \pi d

c)

A = 2πrA\ =\ 2\pi r

d)

A = bhA\ =\ bh

21.

Find the volume of the conical figure. Round to the nearest hundredth.

a)

14.13 in3

b)

56.55 in3

c)

169.65 in3

d)

113.10 in3

22.

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth.

a)

7,238.2 cm3

b)

28,952.9 cm3

c)

1,809.6 cm3

d)

21,714.7 cm3

23.

Find the volume of the cone. Use 3.14 for π.

a)

150.7

b)

33.5

c)

451.1

d)

700

24.
You go to the store and buy a 24 pack of Sprite. If each can has a 4 cm radius and a height of 15 cm, how much volume would the entire case have? Round to the nearest whole number. 
a)
18096 cm3
b)
2827 cm3
c)
753 cm3
d)
67858 cm3
25.
Michael has a very large soup pot shaped like a cylinder that has a height of 15  inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?
a)
4239 in3
b)
423.9 in3
c)
1695.6 in3
d)
 1695.6 in2