1996 AMC 12 Problem 10
Attempt Problem 10 of the 1996 AMC 12 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 1996 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
How many line segments have both their endpoints located at the vertices of a given cube?
Answer: D
Small hint:
A segment is determined by choosing two distinct cube vertices
Big hint:
Count unordered pairs among the cube’s eight vertices
Solution:
Every unordered pair of the cube’s vertices determines one segment, including edges and diagonals. There are so the correct answer is D.
Problem 10 in other years
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