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 47

How many smaller cubes have exactly one colour on them?

Solution

Three faces are painted as given in the figure.

Total number of cubes= 343

The number of cubes with only one color on them: Blue= 6x6

Green= 6x6

Red=6x6

=3x36

=108

Option A

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