Answer:
See explanation
Explanation:
Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

The volume of the box is

The surface area of the box is

The graph of the function SA(S) is shown in attached diagram.
Find the derivative of this function:

Equate this derivative to 0:

So, the dimensions that produce a minimum surface area for this aluminum box are:
