Question

27 smaller but identical cubes have been put together to form a larger cube. This larger cube is now painted on all 6 faces. How many of the smaller cubes have exactly three faces painted? 481216

Answer 1

8 because their corners will have 3 faces and there would be 8 cubes

Answer 2

Given : 27 smaller but identical cubes put together to form a

            larger cube which is painted on all 6 faces.

Find : Number of the smaller cubes having exactly three faces

         painted.

• The cubes with 3 faces painted are the ones present at the vertices.
• As there are 8 vertices, the number of cubes with 3 faces painted is always equal to 8.