A rectangular box, with a lid, is made from thin metal. Its length = 2x cm and its width =

A rectangular box, with a lid, is made from thin metal. Its length = 2x cm and its width = x cm. If the box must have a volume of 72 cm^3,
a) Show that the surface area A cm^2 of metal used is given by A = 4x^2 + 216/x,
b) Find the value of x so that A is a minimum.
c) Find the minimum Area.

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