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 do not have any face painted?
A)
125
B)
180
C)
144
D)
216
D
Since three surfaces have one colour painted on each of them. Therefore the no. of cubes with no sides painted = 6 × 6 × 6 = 216