एक घन के सभी फलकों को लाल रंग से रंगा गया है। इसे समान आकार के 125 छोटे घनों में काटा जाता है। ऐसे कितने छोटे घन हैं जिनके केवल एक फलक पर रंग लगा है?

A cube of side length 6 cm is painted red on all its sides. This cube is cut into smaller cubes of side length 2 cm. On each of the smaller cubes, the unpainted sides are painted green. Each of these smaller cubes is now further cut into cubes of side length 1 cm. How many small cubes of side length 1 cm will have exactly 3 of their faces colored green?

A solid cube is painted and cut into 64 smaller but identical pieces by making the minimum possible number of cuts. What is the minimum number of cuts required?