Question

Two similar rectangular prisms have a scale factor of $4:1$.

The smaller prism has a volume of $6\mathrm{cubic}\mathrm{centimeters}$.

What is the volume of the larger prism in cubic centimeters?

Answer 1

Find the volume of the larger prism:

Two similar rectangular prisms have a scale factor of $4:1$.

Since it is given that the larger rectangle prism is $4$ times the small one and the smaller prism has a volume of $6\mathrm{cubic}\mathrm{centimeters}$.

Now, to find the volume of a large prism multiply $6$ by $4$.

$\begin{array}{rcl}\mathrm{Volume}oflargerprism& =& 6\times 4\\ & =& 24\end{array}$

Hence, the volume of a large prism is $24cubiccentimeters.$.