Investigate the number of hidden faces when cubes are joined indifferent ways.

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Hidden Faces Investigation: Investigate the number of hidden faces when cubes are joined in different ways

Andrew Bambridge 10FA3 Hidden Faces Coursework

I am going to investigate the number of hidden faces when cubes are joined in different ways. The aim of this task is to find a formula which is common with every cube and hidden face.

In order for me to find the overall formula which ca be found by finding out a formula which can determine the outcome of number of hidden faces on ‘n’ cubes. I will have to start by spotting patterns and their differences then find out how each set of hidden faces are common with each other.

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Then try different formulas and see if it fits with the set of results.

Part one: Number Of Rows 1

When a single cube is placed on a flat surface only 1 face is hidden out of 6


When two cubes are joined together and placed on a flat surface there are 4 hidden

Faces out of a possible 12


When three cubes are joined there are 7 hidden faces

There are 10 hidden faces


There are 13 hidden faces

There are 16 hidden faces

Results


Differences: There is a difference ...

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