A machine produces open boxes using Square sheets of metal the figure illustrates that the machine Cuts equal sized squares measuring 2 inches on a side from the corners and then shapes the metal into an open box by turning up the sides if the Box must have a volume of 200 cubic inches find the length and the width of the open box

Question

Mathematics

Dale

21 January, 01:07

A machine produces open boxes using Square sheets of metal the figure illustrates that the machine Cuts equal sized squares measuring 2 inches on a side from the corners and then shapes the metal into an open box by turning up the sides if the Box must have a volume of 200 cubic inches find the length and the width of the open box

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Yaritza · Answer 1

A square has all of sides equals. So in the bottom of box you have a square 2x2 and the formula for volumen is width*length*thicknes, from the data 2*2*t=200 cubic inches, solve for t=50 inches. Now for an open box you have 4 pieces around the square in the bottom, you add 50+2+50=102 inches, for lenght and width 102inches