# Hidden Faces.

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Introduction

Nahidur Rahman 10o Ma7

Mathematics- Hidden Faces Coursework

Aim

My aim is to find out different formulas for the number of ‘hidden faces’, including the global formula. It should consist of simple and understandable explanations with examples.

Prediction

- I predict that I will be able to find out the global and including others
- I also predict that there will be a good and understandable relationship with the number of hidden faces and seen faces to give me the total number of faces.

Middle

+3

+3

+3

+3

+3

+3

Nth term | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

Seen Face | 5 | 8 | 11 | 14 | 17 | 20 | 23 | 26 |

Difference | +3 | +3 | +3 | +3 | +3 | +3 | +3 | +3 |

Nth term | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

Total No. of Faces | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 |

Difference | +6 | +6 | +6 | +6 | +6 | +6 | +6 | +6 |

Linear Equation

Y = mx + c

Nth = mn + c

Nth = 3n

= 3n- 2

I will now use the linear rule on the results above (hidden Faces), I will see if I could find the global formula that

Conclusion

Global formula

From the information which I have put on the first few pages we can see it explains the global formula and when cubes are stacked horizontally you get the formula of 3n-2. Even it is not part of a sequence

I have also found out a formula for finding out how to find the number of hidden faces in a cube or a cuboid just by subtracting total number of faces with the number of seen faces.

I used the following formula -

H/F = T/F – S/F

H/F = 6 (L × W × H) – [2 (W× H) +2 (L × H) + W × L]

By Nahidur Rahman 10o Ma7

Mathematics- Hidden Faces coursework

Mr Bailey

This student written piece of work is one of many that can be found in our GCSE Hidden Faces and Cubes section.

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