# math

Identical square are cut from each corner of an 8 inch by 11.75inch rectangular piececof cardboard.the sides are folded up to make a box with no top . if the volume of the resulting box is 63.75 cubic inches how long is the edge of each square that is cut off?

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1. let the size of the cut-out be a square of side x inches

base = (8-2x) by (11.75 - 2x) and the height is x

x(8-2x)(11.75-2x) = 63.75
x(94 - 39.5x + 4x^2) = 63.75
94x - 39.5x^2 + 4x^3 - 63.75 = 0

don't know what method you know to solve a cubic, I ran it through Wolfram and got 3 real answers
x = 1.26139
x = 1.875 , and
x = 6.73861 --->that would give you a negative length

subbing in the other x's, will give us 63.75 for both answers.

so you can cut off either 1.26139 inches or 1.875 inches

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2. Identical square are cut from each corner of an 8 inch by 11.75inch rectangular piececof cardboard.the sides are folded up to make a box with no top . if the volume of the resulting box is 63.75 cubic inches how long is the edge of each square that is cut off?

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3. Thats good.....

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4. Zzgxufufgiuff

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