Difference between revisions of "2005 Alabama ARML TST Problems/Problem 2"
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Revision as of 12:41, 11 December 2007
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 4x4x4. Only the inside subcubes are unpainted, thus all but 8 are unpainted, leaving 64-8=56 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 | ||
