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Math Help - volume

  1. #1
    Junior Member
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    volume

    Square corners, with side
    x cm, are cut from a square card with side 6 cm.

    Then the edges are folded up to make a box.

    Show that the volume of the box is
    V cm3 where V = 36x 24x2 + 4x3.

    much appreciated
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by abey_27 View Post
    Square corners, with side
    x cm, are cut from a square card with side 6 cm.

    Then the edges are folded up to make a box.

    Show that the volume of the box is
    V cm3 where V = 36x – 24x2 + 4x3.

    much appreciated
    The volume is calculated by:

    V = base\ area \cdot height

    With your values you get:

    base\ area = (6-2x)^2, 0\leq x \leq3

    height = x

    Now plug in the terms into the formula of the volume, expand the brackets and collect like terms.
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