Chapter 12.2, Problem 13PPS

To determine

The volume value of the rectangular prism whose height, width and length are $4in,1\frac{1}{2}in,\frac{1}{4}in$ respectively.

Answer to Problem 13PPS

The volume of the rectangular prism is $1.25i{n}^3$ .

Explanation of Solution

Given:

  $\begin{array}{l}l=\frac{1}{4}in\\ w=1\frac{1}{4}in=\frac{5}{4}in\\ h=4in\end{array}$

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: $l$

Widthof rectangular prism: $w$

Height of rectangular prism: $h$

Calculation:

The volume of the rectangular prism iscalculated by using the follwoing formula:

  $V=l\times w\times h$

Put the given data:

  $\begin{array}{l}V=lwh\\ V=\frac{1}{4}\times \frac{5}{4}\times 4\\ V=1.25i{n}^3\end{array}$

Conclusion:

Hence, the volume of the rectangular prism is $1.25i{n}^3$ .