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18 January, 13:48

The volume of a rectangular box is 270 m3. The width of the box is 3 meters less than the length. The height is 5 meters. What is the length of the box?

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  1. 18 January, 16:01
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    V=LWH, W=L-3, H=5, V=270

    L (L-3) 5=270

    5L^2-15L=270

    5L^2-15L-270=0

    L^2-3L-54=0

    L^2+6L-9L-54=0

    L (L+6) - 9 (L-6) = 0

    (L-9) (L+6) = 0

    Since L>0

    L=9 meters
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