Question

Use Euler's Formula to find the missing number.

Vertices: 13
Edges: 26
Faces: ?

14
15
16
17

Answer 1

the euler's formula is

F + V = E + 2, so F=E + 2 - V
F=26 +2-13=15
F=15

Answer 2

Number of faces are 15

Explanation:

Given that

Vertices=13

Edges=26

we have to find the number of faces by using Euler's formula

Euler's formula shows the relation between vertices, edges and face for convex polyhedron.

It states that the number of vertices and faces is exactly 2 more than no. of edges i.e

V-E+F=2

⇒ 13-26+F=2

⇒ F=2+13=15

Hence, number of faces are 15

Option 2 is correct.