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Assignment 4.1 - Prisms and Cylinders

Total questions: 20

Worksheet time: 3hrs 4mins

Name
Class
Date
1.

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

a)

80 cm³

b)

160 cm3

c)

42 cm3

d)

40 cm³

2.

Lucia has a triangular prism that has a length of 6 cm, a width of 4 cm, and a height of 8cm. What is the volume?

a)

96cm³

b)

54cm³

c)

80cm³

d)

24cm³

3.

Find the Volume of this triangular prism.

a)

960 cm 3

b)

240 cm 3

c)

960 cm 2

d)

1920 cm 3

4.

Find the volume of the rectangular prism.

a)

55 yd3

b)

121 yd3

c)

22 yd3

d)

330 yd3

5.

Find the area of the cross-section.

a)

28 cm3

b)

12 cm2

c)

6 cm2

d)

6 cm3

6.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
7.
Find the surface area of the rectangular prism.
a)
140 in.2
b)
83 in.2
c)
166 in. 2
d)
100 in.2
8.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
9.
What is the area of the triangle?
a)
6 cm2
b)
12 cm2
c)
18 cm2
d)
588 cm2
10.
How many faces does this prism have?
a)
3
b)
4
c)
5
d)
6
11.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
12.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
13.
Find the Volume of the Cylinder
a)
1178 ft3
b)
4712 ft3
c)
7069 ft3
d)
3534 ft3
14.
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
15.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
16.
A cylinder has a height of 4 m and a diameter or 4 m. What is the volume?
a)
64π m3
b)
16π m3
c)
64π m2
d)
16π m2
17.
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
a)
27,143.36 ft3
b)
3392.92 ft3
c)
13,571.68 ft3
d)
6,785.84 ft3
18.
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
19.

A can of soup contains about 423.115 cubic centimeters of soup. The height of the can is 11 cm. What is the approximate radius of the can to the nearest centimeter? Use 3.14 for π.

a)

3.5 cm

b)

12.25 cm

c)

6.125 cm

d)

24.5 cm

20.

Victoria bought coffee in a cup shaped like a cylinder with a radius of 5 centimeters and a height of 15 centimeters. Victoria fills the cup with coffee, but she leaves 4.5 centimeters of space at the top to have room for cream. What is the volume of coffee in her cup?

a)

824.7 cm.3

b)

10.5 cm.3

c)

667.25 cm.3

d)

253.2 cm.3