Question

The diagram shows a square-based pyramid with base lengths $6in$ and height $8in$. What is the volume (in in${}^3$) of the pyramid?

• A. $64$
• B. $96$
• C. $144$
• D. $288$

Answer 1

The correct option is B $96$

Given : Base length $=6inch$, height $=8inch$

We know that, Volume of pyramid $=\frac{1}{3}\times Areaofbase\times height$ ........... $\left(1\right)$

Area of square $=sid{e}^2=6^2=36$

From $\left(1\right)$ we get,

Volume $=\frac{1}{3}\times 36\times 8$

$=96inc{h}^3$

Hence, volume of pyramid is $96inc{h}^3$.