2023 AMC 10 A

Complete problem set with solutions and individual problem pages

Problem 18 Easy

A rhombic dodecahedron is a convex polyhedron where each of the 12 faces is a rhombus, and all of the faces are congruent to each other. The number of edges that meet at a vertex is either 3 or 4 depending on the vertex. What is the number of vertices at which exactly 3 edges meet?

  • A.

    5

  • B.

    6

  • C.

    7

  • D.

    8

  • E.

    9

Answer:C