question_answer

Pair of opposite faces of a solid cube having sides 3 cm are painted black, blue and yellow, respectively. After the paintings this cube is divided into smaller cubes of side 1 cm. How many smaller cubes have only one face painted?

A) 4                                 

B) 6    

C) 9                                 

D) 12

Correct Answer: B

Solution :

Let us draw the family diagram [b]

As, we know that central cubes have only one face painted.

Number of central cubes