Question

The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is m units; what is the volume of the prism?

Answer 1

Answer:

$30m^3$ cubic units.

Step-by-step explanation:

Let m represent length of the rectangular prism.

We have been given that the width of a rectangular prism is six times its length, so width of the prism would be $6m$.

We are also told that the height is five times its length, so height of the prism would be $5m$.

We know that volume of rectangular prism is height times width times length.

$\text{Volume of rectangular prism}=lwh$

$\text{Volume of rectangular prism}=m\cdot 6m\cdot 5m$

$\text{Volume of rectangular prism}=30m^3$

Therefore, the volume of the given rectangular prism would be $30m^3$ cubic units.