The length and width of a rectangular prism are each tripled. The problem asks what happens to the volume of the prism.

1. Problem Description

The length and width of a rectangular prism are each tripled. The problem asks what happens to the volume of the prism.

2. Solution Steps

The volume of a rectangular prism is given by:

$V = lwh$

where $l$ is the length, $w$ is the width, and $h$ is the height.

If the length and width are tripled, the new length is $3l$ and the new width is $3w$.

The new volume $V'$ is then:

$V' = (3l)(3w)h = 9lwh$

Since $V = lwh$, we have:

$V' = 9V$

Thus, the new volume is nine times the original volume.

3. Final Answer

C The volume will be nine times the original volume.