A cube whose two adjacent faces are coloured, is cut into 64 identical small cubes. How many of these small cubes are not coloured at all?
Answer & explanation
Correct answer: option 2
Since the cube is divided into 64 identical cubes, thus the side faces are divided into 4 by 4 squares.
Now the adjacent faces are coloured, therefore coloured cubes will be on Face 1 that is 4×4 = 16 Cubes
on the adjacent face 4 edge cubes will be common, thus only 3×4 cubes will be coloured exclusively = 12 Cubes
Non-Coloured cubes=Total cubes - coloured cubes = 64-16-12 = 36
The correct answer is Option (2) → 36