Question

Find the volume of a regular hexagonal based prism with base side $4$cm and height $10$cm.

Answer 1

The base is a regular hexagon. We can divide the base in to $6$ equilateral triangles.
Each equilateral triangle has side $a=4$cm. Hence the area of the base is $B=6\times \frac{\sqrt{3}}{4}\times 4^2=24\sqrt{3}$.
This implies that $V=B\times h=24\sqrt{3}\times 10=240\sqrt{3}c{m}^3$.