Find the maximum and minimum volumes of a rectangular box whose surface area equals 10000 square cm and whose edge length (sum of lengths of all edges) is 560 cm . Hint: It can be deduced that the box is not a cube, so if \(\mathrm{x},\mathrm{y}\), and z are the lengths of the sides, you may want to let x represent a side with \( x eq y \) and \( x eq z \). Maximum value is occuring at ,1. Minimum value is occuring at (,,1.