2012 AMC 8 Problem 21
Attempt Problem 21 of the 2012 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2012 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
21.
Marla has a large white cube that has an edge of feet. She also has enough green paint to cover square feet. Marla uses all the paint to create a white square centered on each face, surrounded by a green border. What is the area of one of the white squares, in square feet?
Answer: D
Small hint:
The green paint covers half of the cube surface area.
Big hint:
The remaining unpainted area is split equally among the six faces.
Video solution:
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Written solution:
The total surface area is Therefore, square feet aren’t covered. This would be square feet per face.
Thus, the answer is D .
Problem 21 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
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