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The aim of this coursework is to find a global formula for the total number of hidden faces for any number of cubes in rows.
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| Submitted: Fri Oct 10 2003
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MATHS COURSEWORK HIDDEN FACES. Aim: The aim of this coursework is to find a global formula for the total number of hidden faces for any number of cubes in rows. A cube has six faces in total. Hidden faces are faces that cannot be seen when a cube is placed on a table or in rows along side other cubes. If you place five cubes along side each other on to a table, they have a total of 30 faces of which 13 faces are hidden and 17 can be seen. In order to find the global formula I will have to find general formulae for the different number of rows by producing tables and drawing diagrams. I will first find out a general formula for one row of cubes. I will start at one cube and go up to eight cubes in a row. Results: Cubes in a row Total faces Faces seen Faces hidden 1x1 6 5 1 1x2 12 8 4 1x3 18 11 7 1x4 24 14 10 1x5 30 17 13 1x6 36 20 16 1x7 42 23 19 1x8 48 26 22 6n 3n+2 3n-2 In the table and...
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