134,585 views
10 votes
10 votes
For the polyhedron, use eular's foemula to find the missing number

For the polyhedron, use eular's foemula to find the missing number-example-1
User Marty Cortez
by
2.7k points

1 Answer

13 votes
13 votes

Given:

Edges of the polyhedron, E = 10

Vertices, V = 5

A polyhedron is a three-dimensional figure.

Let's find the number of faces using Euler's formula.

To find the number of faces of the polyhedron, we have the Euler's formula:

V + F - E = 2

Substitute values into the formula:

5 + F - 10 = 2

Combine like terms:

F + 5 - 10 = 2

F - 5 = 2

Add 5 to both sides:

F - 5 + 5 = 2 + 5

F = 7

Therefore, the number of faces of the polyhedron is 7

ANSWER:

7 faces

User Seventoes
by
2.5k points