Question

A cubic storage box is made with 96 square feet of wood. What is the length of each edge?

Answer 1

From the question, we're told that the area of the cubic box is 96 square feet of wood, expressed thus;

`A=96ft^2`

Let's call the length of each edge x. But we know that formula for finding the area of a cube is;

`\begin{gathered} A=6x^2 \\ where\text{ x is the length of each edge} \end{gathered}`

So let's go ahead and equate the two equations and solve for x;

`\begin{gathered} 96=6x^2 \\ x^2=(96)/(6) \\ x^2=16 \\ x=\sqrt[]{16} \\ \therefore x=4ft \end{gathered}`

Therefore the length of each edge is 4ft.