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6) From a 24-inch by 24-inch piece of metal, squares are cut out of the four corners so that the sides can then be

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6) From a 24-inch by 24-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. Graph the function and from the graph determine the value of x, that will yield the maximum volume.

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