Among all boxes that which use $18 worth of material which one has the most volume

JIC The box is constructed with different materials which have different costs. The bottom is made with a material which costs $0.09 per square inch. The sides and top are made with a material which costs $0.04 per square inch. The ends are made with a material which costs $0.02 per square inch. The dividers are made with a material which costs $0.01 per square inch. The budget for the materials (ignoring waste) is $18.00 per box. Among all the boxes which use $18.00 worth of material, find the dimensions of the box with most