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

`30m^3` cubic units.

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.