Hidden Faces

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Maths Coursework - Hidden Faces

Part 1

Part 1 was the first investigation which required me to investigate the number of hidden faces for rows of cubes. I must show progress and predictions while carrying out the investigation to find a relationship between the numbers of faces shown depending on the number of cubes. For example when you have one cube there are six faces and one hidden face and if you join up another cube on to it the number of faces double and calculates to for hidden faces. My aim is to come up with a formula that will enable me to calculate the amount of hidden faces without counting them.

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The sheet shows this as an example. It is a line of five cubes and it has 30 faces and 13 of the faces are hidden.

I tried changing the amount of cubes, to see what results I Got.

I used 7 cubes and noticed that I now had 42 faces and 19 of the faces are hidden.

I used 6 cubes and noticed that I now had 36 faces and 16 of the faces are hidden.

I used 1 cube and noticed that I now had 6 faces ...

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