Question

Using Euler’s formula, find the no. of faces if vertices are 6 and edges are

12​

Answer 1

Answer:

Euler's polyhedron formula, V−E+F=2

V = number of vertices = 6

E = number of edges = 12

F = number of faces = ?

6−12+F=2

F=6+2

F=8

Number of faces = 8

A octahederon has8 faces and 6 vertices with 12 edges.

Answer 2

$euler \: formula = f + v - e \\ f + 6 - 12 = 2 \\ f - 6 = 2 \\ f = 2 + 6 \\ f = 8$

Hope it helps