Asked by zoren

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?
Answered by Reiny
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
Answered by Anonymous
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?
Answered by Xajphera
Thats good.....
Answered by Jglgigicfufu
Zzgxufufgiuff
Answered by Anonymous
Identical squares are cut from each corner of an 8 inch by 11.5 inch rectangular piece of cardboard. The sides are folded up to make a box with no top. If the volume of the resulting box is 63.17 cubic inches, how long is the edge of each square that is cut off
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