Answer
$6~in~\times~24~in~\times~24~in$
Work Step by Step
The table is as shown.
Notice that the greatest value of $V$ is $3456$ at $x=6$. Thus, the dimensions that produce the maximum volume is:
$$x=6~in$$ $$36-2x=36-2(6)=24~in$$ $$36-2x=36-2(6)=24~in$$ or $$6~in~\times~24~in~\times~24~in$$
