Question

What is Euler's formula?
Using it, check can a polyhedron have 10 faces, 20 edges and 15 vertices.

Content Quality Required

Answer 1

♤♤hey frnd........


______________________________________⬇️⬇️⬇️

EULER'S FPRMULA = V- E + F = 2

now ...

V= 15
E = 20
F= 10
THEN ,
15 - 20 + 10 = 2

25 - 20 = 2

              5\neq≠ 2

so it cant have  10 faces , 20 edges, and 15 vertices ....


I hope its helpful!!!!!


keep smile!!!! ^_^

Answer 2

For any polyhedron, the difference between the sum of the number of its faces and vertices, and the number of its edges is always 2. in other words, F+V-E = 2

F STANDS for faces
V Stands for vertices
E stands for edges.
this is all about euler's formula.

now,come on to your question :

F+V-E=2
10+15-20=2
LHS:
10+15-20
25-20
5
LHS IS NOT EQUAL TO RHS
SO EULER'S FORMULA IS NOT VERIFIED