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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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# Related GCSE Number Stairs, Grids and Sequences essays

1. ## Mathematics Coursework: problem solving tasks

3 star(s)

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2. ## Open Box Problem.

Cut x L (36-2x) W (36-2x) Volume 1 34 34 1156 2 32 32 2048 3 30 30 2700 4 28 28 3136 5 26 26 3380 6 24 24 3456 7 22 22 3388 8 20 20 3200 9 18 18 2916 10 16 16 2560 11 14 14 2156 12 12 12

1. ## Investigate the size of the cut out square, from any square sheet of card, ...

I'm going to do some more calculations. 20 divided by 2.111(recurring)= 9.4736842105263157894736842105268 10 divided by 2.111 (recurring)= 4.7368421052631578947368421052634 2.111 (recurring) divided by 20= 0.1055555555555555555555 2.111 (recurring) divided by 10= 0.21111111111111111111111 As you evidently see, there is no connection between this one and the last.

2. ## The Open Box Problem

This means that X = A/6 AIM 2: Aim two follows a similar procedure using rectangular pieces of card instead of squares. A square is being cut from each corner. Aim 2 is to find out what fraction of the whole original rectangle needs to be cut from each corner to make the largest possible volume.

1. ## My task is to investigate a 2x2 box on a 100 square

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2. ## the Open Box Problem

704 12 432 13 208 14 56 In the 30X30 square box, 5 give the highest volume. This shows that the ratio of 1:6 (5:30) also work on a 30X30 square box. Although it worked on both 20X20 squares and 30X30 squares, it might still be wrong.

1. ## First Problem,The Open Box Problem

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