Instructions

These questions are based on the following information.
A cube of 7cm × 7cm × 7cm 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.

Question 46

How many smaller cubes do not have any face painted?

Solution

Three faces are painted as given in the figure.

Total number of cubes= 343

Total number of painted cubes=7x7+7x6+6x6=49+42+36=127

Number of cubes which are colourless = 343-127=216

Option D

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