Posted by **CMM** on Tuesday, October 12, 2010 at 5:13pm.

An open box (has a bottom but no top) needs to be constructed which has a volume of 500 cu. in. The bottom of the box is to be a square. Let x be one of the sides of the bottom. Express the area of the four sides and bottom of box as a function of x alone. What value of x will make the total area of the 4 sides and the bottom of the box as small as possible? (that is, gives the box that uses the least amount of material to build and has a volume of 500).

Please help and explain. I have an exam shortly and a similar question will be on it.

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