Colouring Cubes: Lower Secondary Mathematics Competition Question

A large solid 3x3x3 cube is made from white unit cubes. The six faces of the large cube are then painted blue. After waiting for the paint to dry, the unit cubes are rearranged so that the faces of the large cube are all white again. All the faces of this large cube are then painted red.

Now, how many unit cube faces are still white?

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