Volume of a Prism (regular polygon base)

Formula

a: The length of an apothem of the base of the prism

n: The number of sides of the base of the prism

s: The length of a side of the base of the prism

h: The height of the prism

V: The volume of the prism

Explanation

In general, the volume of a prism is the area of the base times the height of the prism.

The area of a regular polygon is given by the formula below:

Substitute to get the following:

Simplify to get the final result: