Minimizing Surface Area. A container firm is designing an open-top rectangular box, with a...

Minimizing Surface Area. A container firm is designing an open-top rectangular box, with a square base, that will hold 108 in3. Let x = the length of a side of the base.

a) Express the surface area as a function of x.

b) Find the domain of the function.

c) Using the following graph, determine the dimensions that will minimize the surface area of the box.