| A solid cube is formed with 27 smaller cubes. |
| One pair of opposite faces of this cube is painted red, another pair is painted yellow and the third pair of opposite faces is painted white. How many smaller cubes have two faces painted? |
A) 8
B) 12
C) 16
D) 24
Correct Answer: B
Solution :
| [b] Number of smaller cubes \[={{(n)}^{3}}\] |
| \[\Rightarrow \]\[27={{(n)}^{3}}\Rightarrow n=\sqrt[3]{27}=3\] |
| \[\therefore \]Number of smaller cubes having two faces painted |
| \[=12\,(n-2)=12\,(3-2)=12\] |
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