Question

A pyramid whose base is a regular pentagon of area $42{cm}^2$ and whose height is $7$ cm. What is the volume (in ${cm}^3$) of the pyramid?

• A. $98$
• B. $105$
• C. $126$
• D. $147$

Answer 1

The correct option is A $98$

Given : Area of base of pyramid $=42c{m}^2$, height $=7cm$

We know that, Volume of pyramid $=\frac{1}{3}\times Areaofbase\times height$

$=\frac{1}{3}\times 42\times 7$

$=98c{m}^3$

Hence, volume of pyramid is $98c{m}^3$.