Question

If F = 18, V = 10 then find the value of E (Edges) by Euler's formula.​

Answer 1

Given :-

• F = 18
• V = 10

To Find :-

• E (edges) = ?

Solution :-

we know that,

• Eular's formula says that, F + V - E = 2 .
• Faces + Vertices - Edges = 2 .

so,

• F = 18 given
• V = 10 given .

then,

→ F + V - E = 2

→ 18 + 10 - E = 2

→ 28 - E = 2

→ E = 28 - 2

→ E = 26 (Ans.)

Hence E(edges) will be 26 .

Answer 2

SOLUTION

GIVEN

F = 18, V = 10

TO DETERMINE

The value of E (Edges) by Euler's formula.

CONCEPT TO BE IMPLEMENTED

Euler's Formula

Euler's formula for polyhedron states that

F + V = E + 2

Where F = Number of faces , V = Number of vertices , E = Number of edges

EVALUATION

Here it is given that F = 18, V = 10

So

F = Number of faces = 18

V = Number of vertices = 10

So by Euler's formula for polyhedron

F + V = E + 2

$\implies \sf{18 + 10 =E + 2 }$

$\implies \sf{E + 2 = 28}$

$\implies \sf{E = 26}$

FINAL ANSWER

The value of E (Edges) by Euler's formula = 26

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