Question

Which of the following is Euler’s Formula
(a) F + V – E = 2
(b)F + V = E – 2
(c) F – V = E – 2
(d)F – V + E = 2​

Answer 1

Answer:

F + V = E + 2...........................

Answer 2

The Euler’s Formula F + V – E = 2

Given :

Euler’s Formula

To find :

Which of the following is Euler’s Formula

(a) F + V – E = 2

(b) F + V = E – 2

(c) F – V = E – 2

(d) F – V + E = 2

Solution :

Step 1 of 2 :

Write down Euler’s Formula

Euler’s formula for Polyhedron states that

For polyhedron F + V = E + 2

Where F stands for number of faces , V stands for number of vertices , E stands for number of edges .

Step 2 of 2 :

Choose the correct option

We have

F + V = E + 2

⇒ F + V – E = 2

Hence the correct option is (a) F + V – E = 2

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