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3 April, 00:22

A rectangular solid (with a square base has a surface area of 37.5 square centimeters. find the dimensions that will result in a solid with maximum volume.

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  1. 3 April, 00:45
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    The total surface area of the solid is equal to 37.5 which is

    37.5 = 2s^2 + 4sh

    h = 37.5 - s^2 / 4s

    The volume of the solid is expressed in

    V=s^2h

    V = s^2 (37.5 - s^2 / 4s)

    V' = 9.735 - 3s^2/4 = 0

    s = 3.5355

    h = 1.7678
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