SOLUTION: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares measuring 3 inches on a side from the corners and then shapes the metal into an ope

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Question 831405: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares measuring 3 inches on a side from the corners and then shapes the metal into an open box by turning up the sides. The length and width is x inches after the 3 inches is cut out of each corner. If each box must have a volume of 192 cubic inches, what is the length and width of the open box?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
3 " is cut off from both sides
so the base of the box will be a square
area * height = volume of box
side = x
height =3
3x^2=192
x^2=64
x=8 inches the side of the box