Question

A polyhedron has 15 edges and 7 vertices . Find the number of its faces

Answer 1

Answer:

10 FACES, MARK BRAINLIEST

Step-by-step explanation:

Using eulers formula

F+V=E+2

F+7=15+2

F+7=17

F=17-7

F=10

Answer 2

Answer:

Number of its faces = 10

Step-by-step explanation:

We can solve this question using Euler's formula.

According to this formula we have,

V - E + F = 2, where

V = the no. of vertices of a polyhedron.

E = the no. of edges of a polyhedron.

F = the no. of faces of a polyhedron.

Given :

The values of V = 7, E = 15, F = ?

Upon substituting these values in the formula we have,

V - E + F = 2

7 - 15 + F = 2

-8 + F = 2

F = 2 + 8 = 10

∴ The number of its faces = 10.