Chapter 12.2, Problem 14PPS

To determine

The length value of the the rectangular prism whose height, width and volume are $6ft,4ft,84f{t}^3$ respectively.

Answer to Problem 14PPS

The length of the rectangular prism is $3.5ft$ .

Explanation of Solution

Given:

  $\begin{array}{l}h=6ft\\ w=4ft\\ V=84f{t}^3\end{array}$

Concept Used:

The volume of the rectangular prism is given by the following expression:

  $V=l\times w\times h$

Where,

Length of rectangular prism: $l$

Width of rectangular prism: $w$

Height of rectangular prism: $h$

Calculation:

The volume of the rectangular prism is calcualted by using the follwoing formula:

  $V=l\times w\times h$

Put the given data:

  $\begin{array}{l}V=lwh\\ 84=l\times 4\times 6\\ l=\frac{84}{24}\\ l=3.5ft\end{array}$

Conclusion:

Hence, the length of the rectangular prism is $3.5ft$ .