Question

Q A polyhedron has 12 vertices and 8 faces, then the number of edges of the polyhedron is
a. 12
b. 18
c. 14
d. 16​

Answer 1

Answer:

Step-by-step explanation:

Polyhedra

Name # of Faces # of Edges

Cube 6 12

Regular Octahedron 8 12

Regular Dodecahedron 12 30

Regular Icosahedron 20 30

1 more row

Answer 2

Answer:

The number of vertices V, faces F, and edges E in a convex 3-dimensional polyhedron, satisfy

V + F - E = 2.

According to statement,

Number of vertices V = 12

Number of faces, F = 8

So using formula

V + F - E = 2.

12 + 8 - E = 2

E = 18

So, number of edges, E = 18.