Question

The height of a square based pyramid is $33$cm. If the length of the base is $27$cm, find the volume.

Answer 1

The general formula for volume of pyramid is $V=\frac{1}{3}Bh$ where $B$ is the area of the base and $h$ is the height.

Since the base is $s=27$ cm and the height $h=33$ cm, therefore, the volume is:

$V=\frac{1}{3}Bh=\frac{1}{3}{s}^{2}h=\frac{1}{3}\times 27\times 27\times 33=8019$

Hence, the volume of the pyramid is $8019$ cm${}^3$.