Volume of Prisms

Question 1

The volume of the prism is the amount of space around✔ insideoutside the figure.

Revolt · Accepted Answer

B: inside

Question 2

Question 2

Revolt · Accepted Answer

576

Question 3

Which prism has the greatest volume?

Revolt · Accepted Answer

D:

Question 4

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

Revolt · Accepted Answer

A: Find the area of the base and multiply that by the height to find volume.; C: The volume is measured in cubic inches.; E: The volume of the prism is in.3.

Question 5

The variable B stands for the ✔ area of the baseheightlengthwidth.

Revolt · Accepted Answer

A: area of the base

Question 6

What is the volume of the prism? cm3

Revolt · Accepted Answer

140.4

Question 7

What errors did he make? Check all that apply.

Revolt · Accepted Answer

A: The area of the base is 30 m2, not 32.5 m2.; E: The volume of the prism is 120 m3, not 390 m3.

Question 8

Nina plans to fill the shipping box halfway with foam packaging. How many cubic inches of foam packaging does she need?

Revolt · Accepted Answer

B: 36 in.3

Question 9

Which prism has the least volume?Prism

Revolt · Accepted Answer

A

Question 10

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.

Revolt · Accepted 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.

Volume of Prisms Answers

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