Cubes and faces III

This task is about finding the number of faces for different 3-dimensional cube models.
 
This white cube has six faces.
 
white-cube.png
Twelve of these white cubes were put together to make the shape below. The outside of the shape was then painted grey.
 
grey-cube-construction.png

Question

How many of the twelve cubes have three grey faces?

    • 0

    • 1

    • 4

    • 8

    • 12

Question

How many of the twelve cubes have two grey faces?

    • 0

    • 1

    • 2

    • 4

    • 8

Question

How many of the twelve cubes have one grey face?

    • 0

    • 4

    • 6

    • 8

    • 12

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