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A box with a square base and no top is to be constructed so that it has a volume of 1000 cubic centimeters. Let x

A box with a square base and no top is to be constructed so that it has a volume of 1000 cubic centimeters. Let x denote the width of the box, in centimeters as seen below

Suppose we are in the same situation as Example shown above. If the volume of the box is to be 500

cubic centimeters, use your calculator to find the dimensions of the box which minimize the

surface area. What is the minimum surface area? Round your answers to two decimal places.

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