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Math Help - [SOLVED] Modeling Volume of an Open Box

  1. #1
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    [SOLVED] Modeling Volume of an Open Box

    So I'm having troubles with this question...

    A small open box for blueberries is to be made from a rectangular piece of cardboard, 15 cm by 9 cm, by cutting equal suares from the corners and turning up the sides. Let x represent the length of the sides of the squares removed.

    a). Write an equation for the volume of the box as a funtion ofx, V(x). Specifiy theappropirate domain of this polynomial function.

    b). Find the exact values of x such that the volume is 56 cm. Which of these values is a physical impossibility in the construction of the box? Which value of x is most appropirate in the problem context?

    So I know that Volume is length x width x height... but what do I do..

    EDIT: So I found the answer from part A which is 4x^3-48x^2+135x

    How would I do question b?

    Thanks!
    Last edited by kelvinly; March 9th 2010 at 05:02 PM.
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  2. #2
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    Can anyone help me with part b?
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  3. #3
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    If V = 4x^3 - 48x^2 + 135x

    and the volume is 56\,\textrm{cm}^3


    then 4x^3 - 48x^2 + 135x = 56

    or 4x^3 - 48x^2 + 135x - 56 = 0.


    Solve for x...
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