Volume of a Pyramid

Example:

Find the volume of a regular square pyramid with base sides $10$ cm and altitude $18$ cm.

Solution

Draw a figure.

The formula for the volume of a pyramid is,

$V=\frac{1}{3}Bh$

Since the base of the pyramid is a square, the base area is ${10}^2$ or $100{\text{cm}}^2$ .

So, substitute $100$ for $B$ and $18$ for $h$ in the formula.

$\begin{array}{l}V=\frac{1}{3}\left(100\right)\left(18\right)\\ =600\end{array}$

Therefore, the volume of the square pyramid is $600{\text{cm}}^3$ .