A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 1053 cubic feet. The concrete for the base costs $7 per squarefoot, the material for the roof costs $6 per squarefoot, and the material for the sides costs $4.50 per square foot. Find the dimensions of the most economical shed.

The length of one side of theshed's base is ____ft. ?

The height of the shed is _______ ft.