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Words: | Submitted: Mon Jun 19 2006
... any XxYxZ cube or cuboid. Method: I will start with simpler orientations of Blocks such as 1x1x1. I will then find the number of hidden faces for that block. From this I will add on an extra cube each time and observe how the pattern emerges. I will then draw a chart, which shows the number of hidden faces. Using the pattern I will make a formula. I will use this information to find an overall formula, which will work with any type of XxYx1 block. I will then proceed to find the formula to calculate the number of hidden faces for any XxYxZ block. Finally I will do an extension to find a formula calculating the number of hidden faces for any XxYxZ block suspended in this thin air. Results: Table A 1x1xD Blocks Number of cubes Hidden faces Seen faces Total no. of faces 1x1x1 1 1 5 6 1x1x2 2 4 8 12 1x1x3 3 7 ...
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