Question

A polyhedron has 30 edges and 12 vertices. How many faces does it have

Answer 1

Answer:

20

Step-by-step explanation:

We know that ,

E+2=F+V (Euler's Formula)

So,

F+V=E+2

F+12=30+2

F=32-12

F=20

Face= 20

Hence,there are 20 faces in a polyhedron.

Answer 2

It has 20 faces.

Given : A polyhedron has 30 edges and 12 vertices.

To find : The number of faces of the polyhedron.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the number of faces)

Here, we will be using the following mathematical formula.

Number of faces + Number of vertices = Number of edges + 2

By, putting the available data in the above mentioned mathematical formula, we get :

Number of faces + 12 = 30 + 2

or, Number of faces + 12 = 32

or, Number of faces = 32-12

or, Number of faces = 20

(This will be considered as the final result.)

Hence, it has 20 faces.