Volume of Prisms Answers

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6

Question text not available

Answer not available
7

Which prism has the greatest volume?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

What statements about the volume of the prism are correct? Check all that apply.

A
Find the area of the base and multiply that by the height to find volume.
B
The volume is measured in squared inches.
C
The volume is measured in cubic inches.
D
The volume of the prism is in.3.
Option D
E
The volume of the prism is in.3.
Option E
11

What errors did he make? Check all that apply.

A
The area of the base is 30 m2, not 32.5 m2.
B
The area of the base is 60 m2, not 32.5 m2.
C
The area of the base is 78 m2, not 32.5 m2.
D
The volume of the prism is 108 m3, not 390 m3.
E
The volume of the prism is 120 m3, not 390 m3.
14

A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volume? Explain the steps that you take to arrive at your answer.

Answer:

Start by calculating the volume of the original prism. The area of the base, B, is 4(6) 24 m2. Multiply that by the height to get the volume: 24(10) 240 m3. Now, if you double all of the dimensions, you would have a rectangular prism with a base that is 8 m by 12 m and a height of 20 m. The area of the base, B, is 8(12) 96 m2. Multiply that by the height to get the volume: 96(20) 1,920 m3. To compare, look at the ratio of the original prism to the new prism: 96/1,920 1/8. The volume increases by 8 times the original volume.

16

Check all that you included in your response.

A
Find the original volume. The area of the base, B, is 4(6) = 24 m2. Multiply that by the height to get the volume: 24(10) = 240 m3.
B
If you double all of the dimensions, you would have a rectangular prism with a base that is 8 m by 12 m and a height of 20 m.
C
Find the new volume. The area of the base, B, is 8(12) = 96 m2. Multiply that by the height to get the volume: 96(20) = 1,920 m3.
D
The volume increases by 8 times the original volume.

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