Squares of side 3 inches are cut from each corner of a square sheet of paper. The paper is folded to form an open box with a volume of 675 cu in. How long were the sides of the sheet of paper?

Owen Mathis

Owen Mathis

Answered question

2022-11-12

Squares of side 3 inches are cut from each corner of a square sheet of paper. The paper is folded to form an open box with a volume of 675 cu in. How long were the sides of the sheet of paper?

Answer & Explanation

Emma Singleton

Emma Singleton

Beginner2022-11-13Added 11 answers

e size of the box first.
It has a square base and a height of #3 inches, because that is the size of the squares cut from each corner. This will allow the sides to fold up to form the box.
Let the sides of the square base be x.
V = x × x × h
x 2 × 3 = 675
x 2 = 675 3 = 225
x = ± 225
x = ± 15 (reject -15 as a length )
The sides of the square base are 15 inches.
3 inches were cut from each side, so the length of the original paper was 15+3+3=21 inches.

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