Question

Only relevent answers or reported​

Answer 1

Answer:

8 ; 6 ; 30

Step-by-step explanation:

F + V = E + 2

Therefore,

i) - V = 6, E = 12, F=?

    F + 6 = 12 + 2

    F = 14 - 6

    F = 8

ii) - V = ?, E = 9, F = 5

    5 + V = 9 + 2

    V = 11 - 5

    V = 6

iii) - V = 12, E = ?, F = 20

      20 + 12 = E + 2

       E = 32 - 2

       E = 30

Answer 2

Answer:

8, 6 and 30.

Step-by-step explanation:

Question:

Using Euler's rule, find the unknown:

Step-by-step Explanation:

Euler's Rule: F + V – E = 2

Given,

(i) Faces: ?

Vertices: 6

Edges: 12

Using Euler's rule,

F + 6 - 12 = 2

F = 2 + 6

F = 8

Verifying: 8 + 6 - 12

14 - 12 = 2

Hence, Verified!

(ii) Faces: 5

Vertices: ?

Edges: 9

Using Euler's rule:

5 + V – 9 = 2

V = 9 - 5 = 4

V = 4 + 2

V = 6

Verifying: 5 + 6 - 9

11 - 9 = 2

Hence, Verified!

(iii) Faces: 20

Vertices: 12

Edge: ?

Using Euler's rule:

20 + 12 – E = 2

E = 32 - 2

E = 30

Verifying: 20 + 12 - 30

32 – 30 = 2

Hence, Verified!