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Sandra is making an open-top box using a sheet of 11 in. X 14 in. Cardboard. The sheet must be folded so that the box has a volume of 35 in3. What is the approximate side length for the squares she will cut from each corner of the sheet of cardboard?

0. 125 in.

0. 25 in

1 in.

1. 75 in

Sagot :

raphealnwobi

The side length for the squares she will cut from each corner of the sheet of cardboard is 0.25 inches.

What is an equation?

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.

Find out more on equation at: https://brainly.com/question/2972832

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