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

Answer:

More details are needed

Step-by-step explanation:

Given

$l = 9.6cm$ --- side length

$a = 11cm$ --- apothem

$n = 5$

Required

The height of the prism

The apothem of a prism is:

$a = \frac{l}{2\tan(\frac{180}{n})}$

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.