Question: 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

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 graph below, determine the dimensions that will minimize the surface area of the box.

400 300 200 (6, 108) 100 5 10 15 20 x

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