Question

A prism is completely filled with $80$ cubes that have an edge length of $12$ cm.

What is the volume of the prism?

Answer 1

To find the volume of the prism:

Use the formula of volume of cube and calculate the volume of the cube below :

$\begin{array}{rcl}\text{Volume of cube}& =& {\text{side}}^3\\ \text{Volume}& =& {12}^3\left[\because \mathrm{side}=12\right]\\ \therefore \text{Volume}& =& 1728{\text{cm}}^3\end{array}$

Since $80$ cubes are filled in the prism,

so calculate the total volume of the prism as follow:

$\begin{array}{rcl}\text{Total volume}& =& 80\times 1728\left[\text{Simplify}\right]\\ \therefore \text{Total volume}& =& 138240\end{array}$

Hence, the volume of the prism is$\mathbf{138240}\mathbf{}{\mathbf{cm}}^{\mathbf{3}}$