find the length and width of the 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

Length and width are x-44

height is 22

22(x-44)^2 = 200

(x-44)^2 = 200/22 = 100/11

x - 44 = 10/ sqrt(11) = 10*sqrt(11)/11

x = 44 + 10*sqrt(11)/11 = 47.01511344577763623-