AnswersFL-1205040-MJ Grade 7 Mathematics B -GFVolume of Prisms

Volume of Prisms Answers

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A cyclinder has a volume of 703 cm3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply.

Question illustration
A
The formula for the volume of a cyclinder can be applied to find the area of the base.
B
To find the area of the base, multiply volume and height.
C
The radius of the cyclinder is half the height.
D
The area of the base is 38 cm2.
Option D
E
To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
2
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Check all that you included in your response.

A
The base area can be determined.
B
Apply the formula for the volume of a cylinder.
C
Substitute known measures into the formula.
D
Apply the properties of equality.
E
Isolate the variable.
3

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4

What is the area of the base of the cyclinder?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

What measures of a cylinder can be determined when given the volume and the height? Describe how to find the measure.

Answer:

The area of the base can be determined by using the volume formula, V Bh. By substituting the known values for volume and height into the formula and then dividing the volume by the height, you can solve for the area of the base. From the base area, you can also determine the radius and diameter of the cylinder.

6

A cylinder with height 8 inches and radius 3 inches.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Tina is making a cylindrical sandbox that has a radius of 2 feet. She bought 18.84 cubic feet of sand for the sandbox. Which height does she need to make the sandbox to fit all the sand?

A
0.5 ft
B
0.75 ft
C
1 ft
D
1.5 ft
8

Approximately how much water will it take to fill the tank?1,407.43 cubic feet2,814.87 cubic feet22,518.94 cubic feet✔ 39,408.14 cubic feet

A
1,407.43 cubic feet
B
2,814.87 cubic feet
C
22,518.94 cubic feet
D
39,408.14 cubic feet
9

It costs the company $0.02 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $2.00 to fill. Which of the proposed container sizes should the company use?

A
Container A
B
Container B
C
Container C
D
None. They all cost more than $2.00.
10

A new cyclindrical swimming pool is being built at the local rec center. It has a radius of 13 feet and a height of 6 feet. Tim determined that 1,014 ft3 of water would be needed to fill the pool, but jasmine calculated that 3,185.57 ft3 of water would be needed. Explain who calculated the volume properly.

Answer:

Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

11

The aquarium needs to purchase a plastic cover for the tank. What should the approximate size of the cover be?50.27 square feet87.96 square feet804.25 square feet✔ 2,463.01 square feet

A
50.27 square feet
B
87.96 square feet
C
804.25 square feet
D
2,463.01 square feet
12

Check all that you used in your response.

A
Both Tim and jasmine calculated the volume correctly.
B
Tim left in his answer, which is the exact
Option B
C
Jasmine multiplied her answer by to get an approximate volume of water.
Option C

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