DIRECTIONS for the question:Solve the following question and mark the best possible option.
A cube of 7 cm × 7cm × 7 cm is kept in the corner of a room and painted in three different colours, each face in one colour. The cube is cut into 343 smaller but identical cubes.
How many smaller cubes have exactly one colour on them?
A)
108
B)
72
C)
36
D)
24
A
Each of the painted face will have 6 × 6 = 36 Cubes with exactly one face painted. The total no of all such cubes = 3 × 6 × 6 = 108
