Find the maximum and minimum volumes of a rectangular box whose surface area equals 3000 square cm and whose edge length (sum of lengths of all edges) is 280 cm. Hint: It can be deduced that the box is not a cube, so if x, y, and z are the lengths of the sides, you may want to let x represent a side with $x \ne y$ and $x \ne z$. Maximum value is ,
occuring at (, ,). Minimum value is ,
occuring at (, ,).