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Find 4 formulae that can work out the number of cubes in a cube that has been painted on the outside with 0 faces painted, 1 face painted, 2 faces painted and 3 faces painted in any sized cubes.  

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Math's Painted Cube Investigation Aim: Our aim is to find 4 formulae that can work out the number of cubes in a cube that has been painted on the outside with 0 faces painted, 1 face painted, 2 faces painted and 3 faces painted in any sized cubes. Method: 1. We drew out all the different sizes of cubes up to 5x5 like the following: 1x1 cube 2x2 Cube 3x3 Cube 4x4 Cube 5x5 Cube 2. Then counted how many with 1 face painted and imagine the ones that were not shown. 3. The counted how many 2 faces painted and imagine the ones which are not shown. 3.The counted the faces painted and imagined the ones that are not shown. 4. Next we recorded our results in a results table. 4. We then found formulae for them. Results: All results were recorded in a table, so if a pattern were to occur, it would be easier to spot. Size of cube 0...

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