You have 27 small cubes that form a 3 x 3 x 3 cube. In your set of 27 cubes, there are 3 cubes each of 9 different colors.
Is it possible to organize the 27 cubes in such a way as to create a 3 x 3 x 3 cube where each face of the bigger cube contains one of each color?
Questions to Consider
+ Is it possible to create such a cube? Prove with evidence and reasoning.
+ What patterns or strategies did you develop during the task?
+If it isn't possible, what would you need to create such a cube?
+ What patterns or strategies did you develop during the task?
+If it isn't possible, what would you need to create such a cube?