no of cubes to assemble large cube May Olympiad (Olimpiada de Mayo) 2011 L1 P4
Source:
September 28, 2021
combinatorial geometrycombinatorics
Problem Statement
Using several white edge cubes of side , Guille builds a large cube. Then he chooses faces of the big cube and paints them red. Finally, he takes apart the large cube and observe that the cubes with at least a face painted red is . Find the number of cubes that he used to assemble the large cube.
Analyze all the possibilities.