A cube whose two adjacent faces are colored is cut into 64 identical small cubes How many of these s...........

Quantitative Aptitude ( CCS) Mensuration 3D

A cube whose two adjacent faces are colored is cut into 64 identical small cubes. How many of these small cubes are not coloured at all?

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Explanation:

Assume the top face of the cube and its right side are colored green and orange respectively.
Now If we remove the colored faces, we left with a cuboid, whose front face is indicated with dots.
So on the front face there are 9 cubes, and behind it lies 4 stacks. So total 9 x 4 = 36

Hence, option 3 is the correct answer.