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# The Open Box Problem

Extracts from this document...

Introduction

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 ..... ...read more.

Middle

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 OF BOX (mm�) 100 5 90 40500 100 10 80 64000 100 15 70 73500 100 20 60 72000 Z (mm) ...read more.

Conclusion

X (mm) VOLUME OF BOX (mm�) 100 17.1 65.8 74036.844 100 17.2 65.6 74017.792 100 17.3 65.4 73994.868 Z (mm) Y (mm) X (mm) VOLUME OF BOX (mm�) 100 17.21 65.58 74015.67344 100 17.22 65.56 74013.51619 100 17.23 65.54 74011.32027 Z (mm) Y (mm) X (mm) VOLUME OF BOX(mm�) 100 17.221 65.558 74013.29834 100 17.222 65.556 74013.0801 ...read more.

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2. ## Open box problem

RECTANGLE Length (L) cm Width (W) cm Height (X) cm Volume cm3 10 8 0 0.00000 10 8 0.25 17.81250 10 8 0.5 31.50000 10 8 0.75 41.43750 10 8 1 48.00000 10 8 1.25 51.56250 10 8 1.5 52.50000 10 8 1.75 51.18750 10 8 2 48.00000 10 8 2.25 43.31250 10 8 2.5 37.50000 10 8 2.75

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2. ## The Open Box Problem

5 320 5 6 6 6 216 6 4 4 7 112 7 2 2 8 32 As you can see from the table the largest volume of the open box was with the cut of 3cm. This shows that the cut out square that gives the 18cm by 18cm box its largest volume is 3cm.

1. ## Open Box Problem.

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