You are tasked with constructing a rectangular box with a square base, an open top, and a volume of 184 in3. Determine what the dimensions of the box should be to minimize the surface area of the box. What is the minimum surface area? Keep your answer in radical form and omit units.
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Let the side length of the square base be x and the height of the box be h. Then the volume of the box is given by V = x^2h. Show more…
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