# 8.1. Can a cube be cut into 71 smaller cubes (of any non-zero size)?
Answer: Yes, it is possible.

Solution: Let's divide each edge of the cube in half and cut the cube into 8 smaller cubes. Now, take one of these smaller cubes and divide it into 8 even smaller cubes. One cube disappears, but 8 new ones appear, increasing the total number of parts by \(8-1=7\) to 15. Repeating this operation, we get \(15+7=22\), \(22+7=29\), \(29+7=36\), \(36+7=43\), \(43+7=50\), \(50+7=57\), \(57+7=64\), \(64+7=71\) parts.

Comment: A correct answer without justification (without providing an example) - 0 points. Justification in the form of any correct example - 7 points.