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1997 AMC 8 Question 17

AMC8 · 1997 AMC 8

Question 17

A cube has eight vertices (corners) and twelve edges. A segment, such as $x,$ which joins two vertices not joined by an edge is called a diagonal. Segment $y$ is also a diagonal. How many diagonals does a cube have?

Question illustration
  1. $6$
  2. $8$
  3. $12$
  4. $14$
  5. $16$