Answer:
More details are needed
Step-by-step explanation:
Given
[tex]l = 9.6cm[/tex] --- side length
[tex]a = 11cm[/tex] --- apothem
[tex]n = 5[/tex]
Required
The height of the prism
The apothem of a prism is:
[tex]a = \frac{l}{2\tan(\frac{180}{n})}[/tex]
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.
