एक ठोस घन को रंगा जाता है और न्यूनतम संभव संख्या में कट लगाकर 64 छोटे लेकिन समान टुकड़ों में काटा जाता है। इसके लिए आवश्यक कटों की न्यूनतम संख्या क्या 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 cuboid of dimensions 24 cm × 18 cm × 12 cm has all its faces painted blue. It is cut into smaller cubes, each having a volume of 8 cm3. Find the relationship that correctly gives the number of small cubes having only one face painted.