A box is created from a sheet of cardboard 20 in. on a side by cutting a square from each corner and folding up the sides. Let x represent the length of the sides of the squares removed from each corner. Find an expression for the volume of the box in terms of x

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Mathematics

15 December, 02:58

A box is created from a sheet of cardboard 20 in. on a side by cutting a square from each corner and folding up the sides. Let x represent the length of the sides of the squares removed from each corner. Find an expression for the volume of the box in terms of x

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Sanaa Sheppard · Answer 1

Assuming the sheet is a square

see diagram

the length will be 20-2x

the width will be 20-2x

and the height will be x

the volume will be (20-2x) (20-2x) (x)