1) A cube , painted on all its faces, is cut into 125 identicalsmaller cubes. How many smaller cubes have no face painted ? A) 100 B) 81 C) 64 D) 27 Answer: Option AExplanation: Here $n^{3}=125$ $\Rightarrown=5$ Cubes with two faces painted:12(n-2)=12(3)=36