Question

How do I find the height of a pentagonal prism with just an apothem of 11cm and a side length of 9.6cm

Answer 1

More details are needed

Explanation:

Given

`l = 9.6cm` --- side length

`a = 11cm` --- apothem

`n = 5`

Required

The height of the prism

The apothem of a prism is:

`a = (l)/(2\tan((180)/(n)))`

There are no direct links between the apothem, the height and the side lengths of a prism.

To calculate the height, we will need to the base area and the volume of the prism.

Hence, more details are needed.