Question

If Faces are 10 and vertices are 16 then find edges of polygon by EULER formula.​

Answer 1

Answer:

Ans8: Possibility of this bring a polyhedron can be proved by Euler's formula, i.e

F + VE = 2

F = 10 V = 15 E = 20

=10+15-20

=25-20

= 5\ne2

Euler;s formula can't be proved.

Hence,a polyhedron can not have 10 faces,20 edges and 15 vertices.

Answer 2

Euler's formula;

F-VE=2

• F=10
• V=16
• E=?

10-16E=2

6E=2

E=2/6

E=3