Question

a solid right pyramid has a square base with an edge length of s units and a height of h units. which expression represents the volume of the pyramid? 1/4 s^2h units^3 1/3 s^2h units^3 s^2h units^3 3s^2h units^3

Explanation:

Step1: Recall volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

Step2: Find base - area

Since the base is a square with edge - length $s$, the area of the base $B = s^{2}$.

Step3: Substitute base - area into formula

Substitute $B = s^{2}$ into the volume formula $V=\frac{1}{3}Bh$, we get $V=\frac{1}{3}s^{2}h$.

Answer:

$\frac{1}{3}s^{2}h$ units$^{3}$