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.
:
Max vol occurs when the solid is perfect cube, x = one side, therefore
6x^2 = 433.5 sq.cm
x^2 = {{{433.5/6}}}
x^2 = 72.25
x = {{{sqrt(72.25)}}}
x = 8.5 cm length, width, and height of this cube