Consider the outside of cubes made out of unit blocks, with side lengths , for , which we have painted red on the outside.
The following table shows the number of unit cubes which are colored on a given number of faces.
Cube Size | 3 faces red | 2 faces red | 1 face red |
8 | 0 | 0 | |
8 | 12 | 6 | |
? | ? | ? |
What is the sum of the numbers missing from the row for the cube?