# The Open Box Problem.

Extracts from this document...

Introduction

Mathematics GCSE THE OPEN BOX PROBLEM

Craig Lochhead 11G

## Problem

I have to find out the volume of a box by using at first a square sheet and then cutting out the corners at any length. The volume of the box will differ to the amount you cut off. I will then try to find the maximum volume of an open square box. After finding the maximum volume of a square I will investigate further using rectangles sheets to cut out square edges. I will also find out the maximum volume of a rectangle sheet as well. I will use formulas and graphs to help me find out the maximum volume of both a rectangle and a square and pick out patterns seen in the tables I will make.

Middle

Question Two

Some examples on how cut out will look like in question two

10x20 cut out size 3

Conclusion

I think I could have improved my results and graphs if I was to do numbers such as 15, 25, 35 etc… this would have improved my graphs because there would have been more observations to write about. It would have made my formulas easy to pick out as well.

I could have taken my experiment further by using other sizes. The sizes could have been more precise making my results and graphs more precise as well. There was a limited amount of shapes I could have due to the specifications of the problem because the shapes could have only been shapes with four right angle corners. Therefore leaving only two shapes to work on. The square and the rectangle.

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

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