MathDB

9

Part of 2019 Durer Math Competition Finals

Problems(1)

cube divided into 27 equal-sized sub-cubes

Source: 2019 Dürer Math Competition Finals Day2 E9 E+4 https://artofproblemsolving.com/community/c1621835_2019_

1/5/2022
A cube has been divided into 2727 equal-sized sub-cubes. We take a line that passes through the interiors of as many sub-cubes as possible. How many does it pass through?
combinatoricscombinatorial geometry