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From a square sheet of paper 20 cm by 20 cm, we can make a box without a lid. We do...

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user3496714 | (Level 2) eNoter

Posted March 21, 2013 at 12:58 PM via web

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From a square sheet of paper 20 cm by 20 cm, we can make a box without a lid. We do this by cutting a square from each corner and folding up the flaps.

Will you get the same volume irrespective of the size of the squares that are cut out?

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted March 22, 2013 at 9:17 AM (Answer #1)

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Let us cut a square of side 1 cm and prepare an open box.

The volume of the box is `18^2x1=324` cubic cm.

Let us now cut a square of side 2 cm and prepare an open box.

The volume of the box is `16^2x2=512` cubic cm.

You observe that the volume will not be the same for both.

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