2003 AMC 12A Problem 3
Below is the professionally curated solution for Problem 3 of the 2003 AMC 12A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 12A solutions, or check the answer key.
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Difficulty rating: 1130
3.
A solid box is cm by cm by cm. A new solid is formed by removing a cube cm on a side from each corner of this box. What percent of the original volume is removed?
Solution:
The original volume is
Eight corner cubes are removed, each of volume totaling
The fraction removed is which is
Thus, the correct answer is D.
Problem 3 in Other Years
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