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Math Help - Trapezodial question

  1. #1
    Newbie
    Joined
    Aug 2007
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    Exclamation Trapezodial question

    Hello, could somebody please help me with this..

    I dont even know how to sketch this diagram, its so confusing. Could u please provide a diagram wif all the labels and working out. thanks so much^^ really need help asap, thanks, exam is tmrw

    1) An excavation for a farm dam is 30m long and 25m wide at ground level. The sides slope down to a base that is 20m long and 10m wide. The bottom of the dam is 3m below ground level. Use the trapezodial rule with 5 sections to find an approximation for the volume.
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  2. #2
    Super Member

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    Lexington, MA (USA)
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    Hello, Tom!

    1) An excavation for a farm dam is 30m long and 25m wide at ground level.
    The sides slope down to a base that is 20m long and 10m wide.
    The bottom of the dam is 3m below ground level.
    Use the trapezodial rule with 5 sections to find an approximation for the volume.
    If I interpret the problem correctly, the hole looks this this:
    Code:
                    B *-------------------* C
                    *                   *
                  *                   *
                *         +         * 20
              *           :       *
            *             :     *
        A *-------------------* D
                  30      :
                          : 3
                    B'*---:-----------*C'
                    *     :         *
                  *       +       * 10
                *               *
            A'*---------------*D'
                     20

    There is a horizontal 30 20 rectangle ABCD at the top.

    There is a horizontal 20 10 rectangle A'B'C'D' at the bottom.

    The perpendicular distance between the rectangles is 3 m.

    Draw AA',\:BB',\:CC',\:DD'.


    We have a frustum of a rectangular pyramid.

    Can you finish it now?

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