From the question, we're told that the area of the cubic box is 96 square feet of wood, expressed thus;
[tex]A=96ft^2[/tex]Let's call the length of each edge x. But we know that formula for finding the area of a cube is;
[tex]\begin{gathered} A=6x^2 \\ where\text{ x is the length of each edge} \end{gathered}[/tex]So let's go ahead and equate the two equations and solve for x;
[tex]\begin{gathered} 96=6x^2 \\ x^2=\frac{96}{6} \\ x^2=16 \\ x=\sqrt[]{16} \\ \therefore x=4ft \end{gathered}[/tex]Therefore the length of each edge is 4ft.
