2016 AMC 12B Problem 8
Attempt Problem 8 of the 2016 AMC 12B 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 2016 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
A thin piece of wood of uniform density in the shape of an equilateral triangle with side length inches weighs ounces. A second piece of the same type of wood, with the same thickness, also in the shape of an equilateral triangle, has side length inches. Which of the following is closest to the weight, in ounces, of the second piece?
Answer: D
Small hint:
The weight is proportional to the area, which scales with the square of the side length
Big hint:
Multiply by
Solution:
Weight is proportional to area, and area scales with the square of the side length. The second side is times the first, so its weight is ounces.
Thus, the correct answer is D.
Problem 8 in other years
- 1950 AMC 12
- 1951 AMC 12
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