2003 AMC 12A Problem 3
Attempt Problem 3 of the 2003 AMC 12A below, then check your answer against the professionally curated solution 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.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
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?
Answer: D
Small hint:
The box has corners
Big hint:
Each removed cube has volume
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
- 1950 AMC 12
- 1951 AMC 12
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