Let's begin by listing out the information given to us:
Volume of cube = 287,496 cubic inches
To solve this, we will use the formula of a cube:
[tex]\begin{gathered} v=b^3\Rightarrow287,496=b^3 \\ b^3=287,496 \\ \text{Take the cube root of both sides, we have:} \\ \sqrt[3]{b^3}=\sqrt[3]{287,496} \\ b=66inches \end{gathered}[/tex]
