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Math Help - Box design

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    Question Box design

    Vanilla box company is going to make open topped boxes out of 12'' * 12'' rectangles of cardboard by cutting squares out of the corners and folding up sides.What is the largest volume box it can make this way.
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    Quote Originally Posted by mathcalculushelp View Post
    Vanilla box company is going to make open topped boxes out of 12'' * 12'' rectangles of cardboard by cutting squares out of the corners and folding up sides.What is the largest volume box it can make this way.
    Let the height of the box be x. If you draw a net it should be obvious that V = x(12 - 2x)^2.

    Maximise V.
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