The solution for this problem is:
The only given here is the volume which is equal to 73.5 square centimeters.
Maximum volume occurs when the solid is perfect cube.
6x^2 = 73.5 sq cm
x^2 = 73.5 / 6
x^2 = 12.25
x = √12.25
x = 3.500
x = 3.5 cm length x 3.5 width x 3.5 height