Question

a dedacahedran is having 20 vertices an 30 edges . how many faces are there.? step by step explanation​

Answer 1

Answer:

12 faces

I hope it will be helpful

Answer 2

Step-by-step explanation:

Given:-

a dedacahedran is having 20 vertices an 30 edges .

To find:-

How many faces are there?

Solution:-

Vertices in a dedacahedran (V)=20

Edges in a dedacahedran (E)=30

We know that Euler's formula

V+F=E+2

Here, V=20 and E=30

On Substituting the values of V and E then

=>20+F=30+2

=>20+F=32

=>F=32-20

=>F=12

The value of F=12

Answer:-

There are 12 faces in the dedacahedran

Used formula:-

• Euler's formula=V+F=E+2

Here, V=vertices

F=faces

E=edges

Note:-

Dedacahedran means 12 faced regular polygon.