Multiple choice general knowledge math & puzzles

Given any solid, if v is the number of vertices, e the number of edges and f the number of faces, which of the following is true?

  1. v + e - f = 2

  2. v - e + f = 2

  3. v - e - f = 2

  4. v + e + f = 2
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B Correct answer
Explanation

This is Euler's formula for convex polyhedra: V - E + F = 2, where V is vertices, E is edges, and F is faces. This relationship holds true for all convex polyhedra (like cubes, pyramids, etc.).

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