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Maths Investigation - Painted Cubes.  

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Maths Investigation - Painted Cubes Introduction I was given a brief to investigate the number of faces on a cube, which measured 20 small cubes by 20 small cubes by 20 small cubes (20 x 20 x 20) To do this, I had to imagine that there was a very large cube, which had had its outer surface painted red. When it was dry, the large cube was cut up into the smaller cubes, all 8000 of them. From there, I had to answer the question, 'How many of the small cubes will have no red faces, one red face, two red faces, and three faces?' From this, I hope to find a formula to work out the number of different faces on a cube sized 'n x n x n'. Solving the Problem To solve this problem, I built different sized cubes (2 x 2 x 2, 3 x 3 x 3, 4 x...

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