• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2

# 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.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our GCSE Number Stairs, Grids and Sequences section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE Number Stairs, Grids and Sequences essays

1. ## Mathematics Coursework: problem solving tasks

3 star(s)

Total 4 6 8 10 12 14 = 2n + 2 2 T 2 4 6 8 10 12 = 2n 2 L 4 4 4 4 4 4 = 4 2 + 0 1 2 3 4 5 = n - 1 2 Total 6 9 12 15 18

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 Borders - a fencing problem.

Diagram of Borders of square: 2x2 Table of results for Borders of square: 2x2 Formula to find the number of squares needed for each border (for square 2x2): Common difference = 4 First term = 8 Formula = Simplification = Experiment I will try to find the number of squares

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

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

32 divided by 3= 10.66666 (recurring) 16 divided by 3= 5.333333 (recurring) 3 divided by 32= 0.09375 3 divided by 16= 0.1875 This is my second investigation: 20cm by 10cm piece of card In the table above, you can see the largest volume produced (1.92.4499cm cubed)

2. ## I am doing an investigation to look at borders made up after a square ...

4 4 4 4 5 5 5 5 5 5 Border Number=B Number of numbered squares=N 1 12 2 16 3 20 4 24 5 28 Using my table of results I can work out a rule finding the term-to-term rule.

1. ## The Open Box Problem

be is 8cm by 8cm because if I made the cut out square 9 by 9 the whole square would just be separated into four quarters and there would be no base left. Therefore I am going to do 6 trials going up in 1cm intervals starting from 2cm up to 8cm cut lengths.

2. ## The Open Box Problem

For each size of A (original piece of card) the volume increases to a maximum point decreases there after. Firstly I will find a general rule for the volume in terms of X and A. To find a general rule for the volume of any box, I will be using the following letters in place of numeric values.

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to