2005 Alabama ARML TST Problems/Problem 2
Problem
A large cube is painted green and then chopped up into 64 smaller congruent cubes. How many of the smaller cubes have at least one face painted green?
Solution
The cube is 
. Only the inside sub-cubes are unpainted, thus 
are unpainted, leaving 
painted.
See also
| 2005 Alabama ARML TST (Problems) | ||
| Preceded by: Problem 1 |
Followed by: Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
