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Math Help - Mensuration

  1. #1
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    Question Mensuration

    Can someone please help me with this problem?


    A field is 150 m long & 100 m wide. A plot (outside the field) 50 m long & 30 m wide is dug to a depth of 8 m & the earth taken out from the plot is spread evenly in the field. By how much is the level of the field raised?

    Thanks,

    Ron
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  2. #2
    Junior Member BariMutation's Avatar
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    First, as I'm sure you knew, you have to find the volume of the plot. Notice how you have a 3D object (being the plot), and a 2D object (being the field). Essentially, you need to turn that field into a 3D object by adding an unknown height. So, you will have a box 150 wide, 100 long, and x deep. You are now left with this equation:

    (150)(100)(x) = volume of plot
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  3. #3
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    So the answer is

    150x100xh=50x30x8
    15000h=12000
    h=12000/15000
    h=0.8m (or 80 cm)

    Am I correct?

    Thanks,

    Ron
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  4. #4
    Junior Member BariMutation's Avatar
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    Yep, completely correct
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