The base, of a right prism is a regular hexagon of side 5 cm. If its height is 12√3 cm, then its volume (in cm³) is:

Solution (By Examveda Team)

$$\eqalign{ & V = {\text{Base area}} \times {\text{Height}} \cr & V = 6 \times \frac{{\sqrt 3 }}{4} \times {5^2} \times 12\sqrt 3 \cr & V = 18 \times 3 \times 25 \cr & V = 1350 \cr} $$