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The side length for the squares she will cut from each corner of the sheet of cardboard is 0.25 inches.
An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the length needed to be cut from each corner. Hence:
Length of box = 14 - x - x = 14 - 2x,
width of box = 11 - x - x = 11 - 2x,
Height = x.
Volume = length * width * height
(14 - 2x)(11 - 2x)(x) = 35
154x - 50x² + 4x³ = 35
4x³ - 50x² + 154x - 35 = 0
x = 0.25
The side length for the squares she will cut from each corner of the sheet of cardboard is 0.25 inches.
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