The six faces of a cube are painted in such a manner that no two adjacent faces have the same colour. The three colours used are red, white and black. The cube is then cut into 36 smaller cubes in such a manner that 32 cubes are of one size and the rest are of a bigger size, and each of the bigger cubes has no red coloured face. Answer the questions by considering the smaller cubes of both the sizes.
How many smaller cubes have a red coloured face?