A rectangular solid (with a square base) has a surface area of 455 square centimeters. Find the dimensions that will result in a solid with maximum volume.

Question

A rectangular solid (with a square base) has a surface area of 455 square centimeters. Find the dimensions that will result in a solid with maximum volume.

Answer 1

Since the area is 455; to make a vertical rectangle you want to get a height over 21.33cm.