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A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. squares from each corner and folding up the sides, as shown in the figure. The box is to hold 324 in3. How big a piece of cardboard is needed?

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G

  1. If the cardboard has side x, the volume is

    (x-8)^2*4 = 324

    Now it is clear what x is.

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    Steve

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