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A box with a square base and open top must have a volume of 119164...

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Calculus

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A box with a square base and open top must have a volume of 119164 cm We wish to find the dimensions of the box that minimize the amount of material used First find a formula for the surface area of the box in terms of only x the length of one side of the square base Hint use the volume formula to express the height of the box in terms of x Simplify your formula as much as possible A x Next find the derivative A x A x Now calculate when the derivative equals zero that is when A x 0 Hint multiply both sides by x A x 0 when

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