Chapter 12.4, Problem 44HP

To determine

To explain:

The two prisms with different heights can have the same volume.

Answer to Problem 44HP

Two prisms have equal volume if one prism is twice as tall as another one then its base area need to be half as much.

Explanation of Solution

Given information:

Two prisms with different heights can have the same volume.

Volume of a prism is:

  $V=Bh$ , where $B$ is the base area which is in the form of circle.

So, base area is $B=\pi r^2$ .

  $V=\pi r^{2}h$

So, two prisms have equal volume if one prism is twice as tall as another one then its base area need to be half as much.

So, the statement is true.