Question

The volume of a rectangular prism is $240$ cubic centimeters.

A rectangular pyramid has the same length, width, and height as the prism.

What is the volume of the pyramid?

Answer 1

Find the Volume of Pyramid:

It is given that the volume of rectangular prism is $240c{m}^3$.

That is $V=abc=240c{m}^3$.

As the length $l$, width $w$ and height $h$ of the pyramid are same as rectangular prism.

So that :

$\begin{array}{rcl}lwh& =& abc\\ & \Rightarrow & lwh=240\end{array}$

Also the volume of Pyramid is :

$\begin{array}{rcl}V& =& \frac{lwh}{3}\\ & \Rightarrow & V=\frac{240}{3}\\ & \Rightarrow & V=80c{m}^3\end{array}$

Hence, the volume of given pyramid is $\mathbf{80}\mathbf{}\mathit{c}{\mathit{m}}^{\mathbf{3}}$.