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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. Procedure No. of cubes Hidden faces Seen faces Total no. of faces 1 1 5 6 2 4 8 12 3 7 11 18 4 10 14 24 5 13 17 30 6 16 20 36 7 19 23 42 8 21 26 48 Nth term 1 2 3 4 5 6 7 8 Hidden Face 1 4 7 10 13 16 19 21 Difference +3 +3 +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 will work on any number of cubes in a row. The sequence goes up in 3's, So m = 3 Nth...

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