A sheet metal fabricator makes boxes from sheets of steel. Each sheet of steel has an area of 1500 cm^2. 6 cm squares are cut from each corner and the edges are bent up to form a box with a volume of 3456 cm^2. What are the dimensions of each box?

Answer 1

the area of the bottom of the box is
... 3456 / 6 = 576

(x + 12) [(576 / x) + 12] = 1500

x is one dimension, 576/x is the other