Question

8. A square pyramid has a volume of 60 cubic meters. The height of the pyramid is 5 meters.

a. What is the area of the base of the pyramid?
b. What is the length of each edge of the square base?

Answer 1

Check the picture below.

`\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ V=60\\ h=5 \end{cases}\implies 60=\cfrac{B(5)}{3}\implies 180=5B \\\\\\ \cfrac{180}{5}=B\implies \boxed{36=B} \\\\[-0.35em] ~\dotfill\\\\ B=L* L\implies 36=L^2\implies √(36)=L\implies \boxed{6=L}`