Question 657672
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For a cube made up of *[tex \LARGE n^3] smaller cubes where *[tex \LARGE n\ \geq\ 2] and painted on the outside the number of smaller cubes with 


Zero faces painted:  *[tex \LARGE (n\ -\ 2)^3]


One face painted: *[tex \LARGE 6(n\ -\ 2)^2]


Two faces painted: *[tex \LARGE 8(n\ -\ 2)]


Three faces painted: *[tex \LARGE 8]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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