Chapter 12, Problem 6PT

To determine

To calculate:To find the height of a rectangular prism with Volume $32$ $c{m}^3$ , length $2$ $cm$ and width $2$$cm$ .

Answer to Problem 6PT

The height of a rectangular prism is $8$$cm$ .

Thus, the correct answer is $C.$ $8$$cm$ .

Explanation of Solution

Given information:

Given rectangular prism with

Volume = $32$ $c{m}^3$

Length $=$ $2$ $cm$

Width $=$ $2$ $cm$

Formula Used:

Volume of a rectangular prism is given by:

  $V=w\times h\times l$ , where

  $w$ is the width

  $h$ is the height

  $l$ is the length

Calculation:

Given rectangular prism with

Volume = $32$ $c{m}^3$

Length $=$ $2$ $cm$

Width $=$ $2$ $cm$

Substituting the values in above equation, we have:

  $32=2\times h\times 2$

Solving the above equation, we have:

  $h=8$

Thus, the height of a rectangular prism is $8$$cm$ .

Conclusion:

The height of a rectangular prism is $8$$cm$ .

Thus, the correct answer is $C.$ $8$$cm$ .