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Suppose you take a piece of cardboard measuring 7 inches by 7 inches, cut out square corners with sides x inches long, and then fold up the cardboard to make an open box. Express the volume V of the box as a function of x.

  • Math -

    did you make a sketch?
    isn't the base after the cut-out (7-2x) by (7-2x) and isn't the height of the box x inches?

    volume of box = base area x height

  • Math -

    Yes so my conclusion is that

    V(x) = x (7 – 2x)^2

    is this correct?

  • Math -


  • Math -

    Thanks! I knew I would get this stuff! Thanks for your help!

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