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:

Answer: Option C

Solution

Answer: Option C

Solution:

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