The edge length of the cube is [[$ 766,0 \;\text{mm} $]]. The cube is sawn into eight smaller cubes according to the figure. Each small cube is sawn into eight smaller parts, etc. Each sawing consumes [[$ 2,0 \;\text{mm} $]] of wood. Sawing is continued until the length of the edge of the cubes falls below [[$ 25,0 \;\text{mm} $]] for the first time. What is the length of the edge of the small cubes that are formed when this happens? (Source: Entrance examination for technical training, spring 1991)

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Answer: The length of the edge of the small cubes is mm.

Solution