Question

5. Using Euler formula in a solid where F=V=5 then find the number of edges in solid​

Answer 1

Answer:

No.Of Edges=8

Step-by-step explanation:

Eular formula-

V+F= E+2

here is the V=F =5

then,. 5+5= E +2

10=E+2

E = 10-2=8

E=8. Ans.

Answer 2

The number of edges in solid​ (E) = 8

Step-by-step explanation:

Given by question,

F = V = 5

To find, the number of edges in solid(E)​ = ?

We know that, ​

Euler's formula,

V - E + F = 2

Where, V = The number of vertices,

E = The number of edges

F = The number of faces

∴ V - E + F = 2

Put F = V = 5, we get

⇒ 5 - E + 5 = 2

⇒ 10 - E = 2

⇒ E = 10 - 2 = 8

∴ The number of edges in solid​ (E) = 8

Thus, the number of edges in solid​ (E) is 8.