Question

What is the volume of a pyramid with a height of 6 cm and a square base with a side length of 4 cm?
${\text{cm}}^3$

Answer 1

Given, the height of the pyramid is 6 cm and the base is a square with a side length of 4 cm.

$\therefore \text{Area of base}=(\text{side length}{)}^2$
$=4^2$
$=16{\text{cm}}^2$

Volume of the pyramid is given by:
$V=\frac{1}{3}\times \text{area of base}\times \text{height}$
$=\frac{1}{3}\times 16\times 6=\frac{1}{3}\times 16\times 3\times 2=16\times 2=32{\text{cm}}^3$

Hence, the volume of the given pyramid is $32{\text{cm}}^3.$