Question

A prism with a square base has a height of 15cm and a volume of 735cm3. Find the length of each edge of the base.

Answer 1

The length of each edge of the base is 7cm.

Explanation:

The volume of a prism with square base is given by:

`V = l^(2)h`

In which l is the length of each edge of the base and h is the height.

A prism with a square base has a height of 15cm and a volume of 735cm3.

This means that
`V = 735, h = 15`

So

`V = l^(2)h`

`735 = 15l^(2)`

`l^(2) = (735)/(15)`

`l^(2) = 49`

`l = \pm √(49)`

Length is a positive measure. So

`l = 7`

Volume in cm³, so the length of each edge is in cm.

The length of each edge of the base is 7cm.