The Open Box Problem

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The Open Box Problem

AIM

To determine the size of a square cut which makes the volume of the box as large as possible for any given rectangular sheet of card. I should also be able to come up with a formula to .....

INVESTIGATING SQUARE SHEETS OF CARD
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. For any sized square sheet of card, investigate the size of the cut out square which makes an open box of the largest volume.

USING A 100MM SQUARE SHEET OF CARD

I will begin this investigation by working out the size of the square cut which makes an open box of the largest volume, using a 100mm square sheet of card . This means that I have to work out the size of the open box which has the largest possible volume.

Z (mm)

Y (mm)

X (mm)

VOLUME ...

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