Question

Use Euler's formula to find the missing number. Vertices: 14 Edges: 36 Faces:?

Answer 1

Euler`s polyhedron formula is:
V - E + F = 2
where V is the number of vertices, E is the number of edges and F is the number of faces.
V = 14, E = 36
14 - 36 + F = 2
F = 36 + 2 - 14
F = 24
Answer: There are 24 Faces.

Answer 2

Answer:Faces : 24

Step-by-step explanation:

Given: Vertices: 14

Edges: 36

We know that the Euler's formula is given by:

$V - E + F = 2$, where V is the number of vertices , E is the number of edges and F is the number of faces in a polyhedron.

Put V=14 and E=36 in the equation, we get

$14-36+F=2\\\\\Rightarrow-22+F=2\\\\\Rightarrow\ F=22+2\\\\\Rightarrow\ F=24$