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# In this work I investigated different shaped tubes, which can be made from rectangular sheets of card, of given width and length. I used Microsoft Excel to collate data.

Extracts from this document...

Introduction

Anup Patel 10S                                                     Tubes Coursework

Tubes

Part 1

Introduction: In this work I investigated different shaped tubes, which can be made from rectangular sheets of card, of given width and length.  I used Microsoft Excel to collate data. (These sets of data are available in a set of appendixes at the back)

Method: Using Microsoft Excel and the dimensions of the card that were given, I was able to collate the data for the volume of different shaped tubes.  I used different formulas to try and test out what the maximum volumes were for each given shape.  I used 24cm for the

Middle

To find the volumes of the different shaped tubes, I worked out the cross sectional area and then multiplied that by the length of the tube.

General Formulas for volumes of prisms

Cylinder: cross sectional area = πr2

Volume = πr2 x length

Cuboid with rectangular end face: cross sectional area = width x length

Volume = cross sectional area x length of prism

Equilateral and

Isosceles Triangle face: cross sectional area = 0.5 x base x height

Volume = cross sectional area x length of prism

Hexagon: cross sectional area =

### Generalised Formula for working out the volume of any polygon

Results: Refer to appendix 1 for the data collected for the volumes ofa cylindrical tube.

Refer to appendix 2 for the data collected for the volumes of a rectangular tube.

Refer to appendix 3

Conclusion

#### Part 2

Introduction: This part of the investigation will involve me using a piece of card with a fixed area; to investigate the volumes of open ended tubes that I can obtain from it.  I have used Microsoft Excel once again to help me to obtain my results.

Method: Using the knowledge I gained from the previous part of the investigation.  I decided to investigate the sizes of cylindrical tubes, which could be made from this card.  The card has a fixed area of 1200cm2, this is how we worked out the volume of the possible cylindrical tubes that we could get from it.

Results: Refer to appendix 5 for the results of volumes of the cylindrical tube

Also refer to graph 1

Conclusions: Using the results and graph above, I have concluded that

• The cylinder

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