Painted Sides of a Cube- Formula With Example

Finding Number of cubes painted with its sides:

No Side Painted Cubes        :           (n-2) ^ 3

One Side Painted Cubes      :           6 * (n-2) ^ 2

Two Side Painted Cubes     :           12 * (n-2)

Three Side Painted Cubes   :           Its Always 8

Example:

If a Cube is 3X3 Cube Then,

No side Painted is    :           (3-2)^3=1

One side Painted     :           6*(3-2)^2=6

Two side Painted     :           12*(3-2)= 12

Three side Painted :           8

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