SAT Question e4b4e9ea: Area and Volume answer and explanation with Desmos solution

Choice D is correct. The volume, $V$, of a right square prism is given by the formula $V=s^{2}h$, where $s$ represents the length of the edge of the base and $h$ represents the height of the prism. It's given that the volume of a right square prism is $2,880$ cubic units and the length of the edge of the base is $6$ units. Substituting $2,880$ for $V$ and $6$ for $s$ in the formula $V=s^{2}h$ yields $2,880=\left(6^2\right)h$, or $2,880=36h$. Dividing both sides of this equation by $36$ yields $80=h$. Therefore, the height, in units, of the prism is $80$.