2016 AMC 10A Problem 5

Let $s$ be the side length of the smallest side. Then the other two sides are $3s$ and $4s.$ The volume is therefore $$s \cdot 3s \cdot 4s = 12s^3.$$ Testing out values of $s,$ we see that if $s = 2,$ then $12s^3 = 96,$ which is an answer choice. Thus, the correct answer is D .