Chapter 12.2, Problem 35STP

To determine

The height of the rectangular prism is to be calculated if length, width and volume are $8cm,10cm,960c{m}^3$

Answer to Problem 35STP

The height of the rectangular prism is $12cm$

Explanation of Solution

Given:

  $\begin{array}{l}l=8cm\\ w=10cm\\ V=960c{m}^3\end{array}$

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:

Volume of rectangular prism is expressed as:

  $V=l\times w\times h$

Put the given data:

  $\begin{array}{l}V=l\times w\\ 960=8\times 10\times h\\ h=\frac{960}{80}\\ h=12cm\end{array}$

Conclusion:

Hence, height of the rectangular prism is $h=12cm$