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Surface Area and Volume of Cylinders

Total questions: 15

Worksheet time: 34mins

Name
Class
Date
1.
How do you find the volume of a prism?
a)
Base area multiplied by the 3-D Height, then divide by 3
b)
Perimeter of the Base Shape multiplied by the 3-D Height
c)
Base area multiplied by the 3-D Height
2.

When finding Volume, what are you solving for?

a)

Tells us how many given cubic units it takes to fill a given space.

b)

The area of such an outside of a figure.

3.
When finding Surface Area, what are you solving for?
a)
Tells us the capacity of the figure.  It is a measure of how much a figure can hold and is measured in cubic units.
b)
The area of such an outer part or uppermost layer.
4.
You are putting in a pool at your house in the shape of a rectangular prism.  The length is 40 ft, the width is 20 ft and the 3-D height is 12 ft.  How much water will be in the pool?
a)
8640 cubic feet
b)
8400 cubic feet
c)
8000 cubic feet
d)
9600 cubic feet
5.
You want to figure out how cherry coke is inside a can of Coca-Cola.  The radius is 2 inches and the 3-D height is 6 inches.  How much cherry coke fits inside the can?
a)
68.56 cubic inches
b)
75.36 cubic inches
c)
83.76 cubic inches
d)
94.7 cubic inches
6.

El Compadre's Mexican Restaurant is a triangular prism. The base of the triangle is 90 ft and height of the triangle is 100 ft. The 3-D height is 200 ft. How much space is inside the restaurant?

a)

750,000 cubic feet

b)

800,000 cubic feet

c)

850,000 cubic feet

d)

900,000 cubic feet

7.
We want to fill up the cylinder pictured with water.  How many inches cubed of water will fit inside it?
a)
78500 inches cubed
b)
80000 inches cubed
c)
84500 inches cubed
d)
89000 inches cubed
8.
You want to wrap the box in the image.  How much wrapping paper would you need?
a)
415 squared cm
b)
489 squared cm
c)
302 squared cm
d)
612 squared cm
9.

You want to paint the outside of the box in the picture. How many square inches would you need to paint?

a)

122 square feet

b)

147 square feet

c)

168 square feet

d)

198 square feet

10.

Dave has a cylindrical water bottle with a height of 12 inches and a diameter of 6 inches. How much water could the bottle hold?

a)

1356.48 cubic inches

b)

339.12 cubic inches

c)

678.24 square inches

d)

282.6 square inches

11.

Faith, like a crazy person, wants to paint all four walls, the ceiling, and the floor of her bedroom deep taupe (think like sandy brown). If her room is 12 feet long, 10 feet wide, and 8 feet tall, how much paint would she need?

a)

960 cubic feet

b)

592 square feet

12.

Mariah wanted to fill a cylindrical water bottle. If the bottle had a diameter of 8 inches, and a height of 11 inches, how much water could it hold?

a)

2210.56 in3

b)

954.54 in3

c)

376.8 in3

d)

552.64 in3

13.

Daisy wanted to find the capacity of a half of a rectangular box. If the box measured 12 inches by 8 inches by 4 inches, what was half of its capacity?

a)

192 in3

b)

384 in3

c)

176 in3

d)

352 in3

14.

Larry had a cylindrical roll of toilet paper. The hollow interior part had a volume of 141.3 in3. If the roll had a total radius of 6.5 inches, and a height of 5 inches, how much space did the actual toilet paper take up?

a)

663.325 in3

b)

522.025 in3

c)

141.3 in3

15.

How much cardboard did it take to make a hollow cylinder with radius of 12 cm and height of 8 cm?

a)

3617.28 cm2

b)

768 cm2

c)

1607.68 cm2

d)

1600.68 cm2