Question

What is the height of the given pyramid if the volume is 48 cubic units?

Answer 1

The formula of a volume of a pyramid:

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

B-area of a base

h-height

$B=6^2=36\ u^2\\\\V=48\ u^3$

Substitute:

$\dfrac{1}{3}\cdot36\cdot h=48\\\\12h=48\ \ \ \ |:12\\\\\boxed{h=4\ u}$