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31 December, 22:40

A rectangular shipping container has a volume of 2500 cubic cm. The container is 4 times as wide as it is deep, and 5cm taller than it is wide. What are the dimensions of the container?

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  1. 31 December, 22:51
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    2500 cubic cm is not a large container!

    Let W=width

    then

    Depth=W/4

    H=W+0.05

    Volume

    V=2500=W * (W/4) * (W+5)

    => W^3+5W^2-10000=0

    Factor:

    (W-20) (W^2+25W+500) = 0

    =>

    W=width=20 cm.

    W/4=depth=20/4=5 cm

    W+5=height=20+5=25 cm

    Check: 20*5*25=2500 cm^3 ok
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