SAT Question 983412ea: Area and Volume answer and explanation with Desmos solution

The volume, $V$, of a right square prism can be calculated using the formula $V=s^{2}h$, where $s$ represents the length of an edge of the base and $h$ represents the height of the prism. It's given that the volume of the prism is $2,016$ cubic units and the height is $14$ units. Substituting $2,016$ for $V$ and $14$ for $h$ in the formula $V=s^{2}h$ yields $2,016=\left(s^2\right)\left(14\right)$. Dividing both sides of this equation by $14$ yields $144=s^2$. Taking the square root of both sides of this equation yields two solutions: $-12=s$ and $12=s$. The length can't be negative, so $12=s$. Therefore, the length, in units, of an edge of the base is $12$.