... noticed that the number of small cubes (the column in red) was the twelve times table as each number went up in twelve's so I knew I had to base my formula on this, then noticed that it would make sense to minus two from the cube number as for the first two cubes there aren't any cubes with two sides painted. As seen below in blue I get a matching pattern that forms the twelve times table. Simply by knowing the dimensions of a cube I can work out how many small cubes there would be with two sides painted in any cube e.g. the following: 3 -2= 1*12=12 4 -2= 2*12=24 5 -2= 3*12=36 6 -2= 4*12=48 7 -2= 5*12=60 8 -2= 6*12=72 Thus finding and proving the formula Y=(X-2)12 This table shows the number of cubes with only one side painted. Cube Number (X) Cube dimensions No. Of small cubes No. Of small cubes with 1 painted ...

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