Question

If a polyhedron has 6 vertices and 12 edges. What is the number of faces it has?​

Answer 1

Answer:

this question answer is eight

Step-by-step explanation:

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

Answer 2

SOLUTION

GIVEN

A polyhedron has 6 vertices and 12 edges.

TO DETERMINE

The number of faces

CONCEPT TO BE IMPLEMENTED

Euler’s formula for Polyhedron :

For polyhedron F + V = E + 2

Where F stands for number of faces , V stands for number of vertices , E stands for number of edges .

EVALUATION

Here it is given that a polyhedron has 6 vertices and 12 edges

V = Number of vertices = 6

E = Number of edges = 12

F = Number of faces = ?

By Euler’s formula

F + V = E + 2

⇒ F + 6 = 12 + 2

⇒ F + 6 = 14

⇒ F = 8

FINAL ANSWER

The number of faces = 8

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