You need to make a closed box with total 1000 cubic inches, but you want to spend as little money as possible

Material for the front and back of the box costs 60 dollar per square inch.

Material for the top and bottom of the box costs 90 dollar per square inch.

Material for the remaining two sides of the box costs 20 dollar per square inch.

What should the dimension of the box?

What is the lowest possible cost for this box?