a solid right pyramid has a square base with an edge length of s units and a height of h units. which…

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? $\frac{1}{4}s^{2}h$ units$^{3}$ $\frac{1}{3}s^{2}h$ units$^{3}$ $s^{2}h$ units$^{3}$ $3s^{2}h$ units$^{3}$

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? $\frac{1}{4}s^{2}h$ units$^{3}$ $\frac{1}{3}s^{2}h$ units$^{3}$ $s^{2}h$ units$^{3}$ $3s^{2}h$ units$^{3}$

Answer

Explanation:

Step1: Recall volume formula for pyramid

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 area of the square - base

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

Step3: Substitute base area into volume formula

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

Answer:

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