Opening Folding
an open box is formed by cutting squares from the corners of a piece of cardboard and folding the flaps?
an open box is formed by cutting squares from the corners of a rectangular piece of cardboard and folding up the flaps. the piece of cardboard is 12in. by 15in. What size corner squares should be cut to yield a box with a volume of 125 in.^3
If x is the length of each side of each square removed then the volume of the box formed will be LWH = (12-2x)(15-2x)(x) = 125.
4x^3 -54x^2 +180x -125 =0.
Solutions to this equation can be found using a graphing calculator.
The solutions are x = 0.942, x = 3.778, x = 8.780.
Either of the first two answers will work. The third will not since the squares removed must be less than6 inches on each side.
Opening folding knives Tip up / Tip down.
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