Question

A cube is painted green on all sides is cut into 27 small cubes of equal sizes. how many cubes are paintedonone face only??

Answer 1

Number of small cubes = 27 (given)

Number of cube on each edge = ∛27 = 3

Each face has 3 x 3 = 9 cubes

Among the 9 cubes, only the centre piece has 1 side painted. (the others have 2 or 3 sides painted)

Number of faces in a cube = 6

Number of 1 cubes with 1 side painted only = 6 x 1 = 6

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Answer: 6 cubes has one side painted only.