SOLUTION: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 433.5 square centimeters.

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Question 426057: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 433.5 square centimeters.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Determine the dimensions of a rectangular solid (with a square base) with maximum
volume if its surface area is 433.5 square centimeters.
:
Max vol occurs when the solid is perfect cube, x = one side, therefore
6x^2 = 433.5 sq.cm
x^2 = 433.5%2F6
x^2 = 72.25
x = sqrt%2872.25%29
x = 8.5 cm length, width, and height of this cube