SAT Question 50774285: Area and Volume answer and explanation with Desmos solution

Choice A is correct. The volume, $V$, of a rectangular prism is given by the formula $V=lwh$, where $l$ is the length of the base, $w$ is the width of the base, and $h$ is the height of the prism. It's given that each base of a right rectangular prism has a length of $19$ inches and a width of $8$ inches, and that the prism has a volume of $2,736$ cubic inches. Substituting $19$ for $l$, $8$ for $w$, and $2,736$ for $V$ in the formula $V=lwh$ gives $2,736=(19)(8)(h)$, or $2,736=152h$. Dividing each side of this equation by $152$ yields $18=h$. Therefore, the height, in inches, of the prism is $18$.