Question

In a regular tetragonal pyramid the altitude is 3 cm long and a lateral edge is 5 cm long. Find the volume of the pyramid.

Answer 1

Regular tetragonal pyramid -

$\Rightarrow$ Attitude $=x=3cm$

$\Rightarrow$ Lateral edge $y=5cm$

$\Rightarrow$ Volume $=\frac{2}{3}(y^2-x^2)x$

$=\frac{2}{3}(25-9)3$

$\Rightarrow$ Volume $=2\times 16=32c{m}^3.$

Hence, the answer is $32c{m}^3.$