find the length and width of an open box

Question

A machine produces open boxes using square sheets of metal. The machine cuts​ equal-sized squares measuring 22 inches on a side from the corners and then shapes the metal into an open box by turning up the sides. If each box must have a volume of

200 cubic​ inches, find the length and width of the open box.

Answer 1

The base area of the box after the 22" cutouts will be (x-44)^2

The volume of the box will be 22(x-44)^2 = 200

Solving for x, we get 47.015 inches.

Check: 22(47.015-44)^2 = 200