Question

A right pyramid is on a regular hexagonal base. Each side of the base is $10m$. Its height is $60m$. The volume of the pyramid is

• A. $5196m^3$
• B. $5200m^3$
• C. $5210m^3$
• D. $5220m^3$

Answer 1

The correct option is A $5196m^3$

Given side of pyramid $a=10m$ and height of pyramid is $h=60m$

Volume of pyramid $V=\frac{1}{3}\times basearea\times h=\frac{1}{3}\times \frac{3\sqrt{3}}{2}{a}^{2}h=\frac{\sqrt{3}}{2}{a}^{2}h$

$V=\frac{\sqrt{3}}{2}\times 100\times 60$

$V=5196m^3$