An open box is to be made from a square piece of material by cutting four-centimeter squares from each corner and turning up the sides (see figure). The volume of the finished box is to be 144 cubic centimeters. Find the size of the original piece of material.

Answer 1

If the side is x cm, then
4(x-2*4)^2 = 144

Or, since the height of the box is 4 cm, and 144/4 = 36, the final base of the box is 6x6 cm.

That makes the original size 14x14