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26 February, 04:08

The width of a rectangular prism is w centimeters. the height is 2 centimeters less than the width. the length is 4 centimeters more than the width. of the volume of the prism is 8 times the measure of the length, find the dimensions of the prism

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  1. 26 February, 04:16
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    W x (w-2) = 8

    w^2 - 2w = 8

    w^2 - 2w - 8 = 0

    (w-4) (w+2) = 0

    w = 4 Or w = - 2

    However w cannot be less than 0

    So w must = 4

    Width is 4, height is 2, length is 8

    Total Volume = 64 which is 8 (8).
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