This video shows how to find the faces, edges, and vertices of a polyhedron. To find how many vertices a rhombic triacontahedron with 30 faces has, you will need to use Euler’s formula: V+F=E+2. Because the number of faces is 30, you can replace the F with 30. To find the number of edges, multiply the number of edges a rhombus has by the number of faces the triacontahedron has and divide it by two: 30×4/2 = 120/2 = 60. This means there are 60 edges, making your formula V+30=60+2. To solve for the number of vertices, subtract F from both sides. This gives you an answer of 32. This triacontrahedron has 32 vertices, 30 faces, and 60 edges.

Faces, Edges, and Vertices of a Polyhedron



by Mometrix Test Preparation | Last Updated: March 26, 2019