Question

A polyhedron has 10 faces and 24 edges. Use Euler's Formula to find the missing number of vertices.

Answer 1

hey user!!

your answer is here...

we know that Euler's formula = F + V - E = 2

given :-

faces = 10

verticies = ?

edges = 24

therefore F + V - E = 2

==> 10 + V - 24 = 2

==> -14 + V = 2

==> V = 2 + 14

==> V = 16

verification :-

= F + V - E

= 10 + 16 - 24

= 26 - 24

= 2

hence verified..

thus the no. of verticies of the polyhedron is 16.

cheers!!

Answer 2

Euler's Formula : V - E + F = 2

Given that F = 10 and E = 24

V - 24 + 10 = 2
V - 14 = 2
V = 16

Answer: Vertices = 16