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Thread: Volume of a cuboid given areas of adjacent sides

  1. #1
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    Volume of a cuboid given areas of adjacent sides

    "The areas of three three adjacent sides of a cuboid are X, Y and Z square meters. Find volume of the cuboid."

    Can anybody help me solve the above problem?


    Thanks in advance!
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  2. #2
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    Quote Originally Posted by lawsed View Post
    "The areas of three three adjacent sides of a cuboid are X, Y and Z square meters. Find volume of the cuboid."

    Can anybody help me solve the above problem?


    Thanks in advance!
    $\displaystyle V = LWH$

    let ...

    $\displaystyle LW = X$

    $\displaystyle WH = Y$

    $\displaystyle LH = Z$

    $\displaystyle V = LWH = \frac{X}{W} \cdot \frac{Y}{H} \cdot \frac{Z}{L}$

    $\displaystyle V = \frac{XYZ}{WHL} = \frac{XYZ}{V}$

    $\displaystyle V^2 = XYZ$

    $\displaystyle V = \sqrt{XYZ}
    $
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    Thanks!

    Thanks again!
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