An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made with the smallest amount of material. base ft x ft height ft
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Let's call the length of the base \(x\) feet and the height of the box \(h\) feet. Since the base is square, the width of the base is also \(x\) feet. The volume of the box is given as 4 cubic feet, so we can write the equation: \(x \times x \times h = Show more…
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