Question

how many faces of a polyhedron have if the number of edges and number of vertics are 20 and 12 respectively​

Answer 1

Answer:

As per question:

Euler's Formula is for any polyhedrons. i.e.

F + V - E = 2

Given, F = 20 and V = 12 and E = a

According to the formula:

20 + 12 - a= 2

32 - a = 2

a = 32 - 2

a = 30

Answer 2

Answer:

Step-by-step explanation:

Euler’s formula:-

For any polyhedron

F + V - E = 2

Where,

F is the number of faces

V is the number of vertices

E is the number of edges

Step 1 of 2

Apply Euler’s formula

Given,





                        ….(1)

Step 2 of 2

Simplify equation (1)