KöMaL 2026 K891
On a cube with an edge length of 5 cm we draw all the diagonals of the faces using red color. a) From one of the vertices of the cube an Ulrich's ground beetle starts travelling following the red lines, passing through all the vertices of the cube, and returning to the original vertex. Find the least distance travelled by the bug. b) We cut up the large cube into smaller cubes with an edge length of 1 cm. How many of the small cubes will not contain a red line on their surface?
Official text KöMaL. Quoted with source.
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