Question

If number of vertices and faces in a solid are 3 and 4 respectively. find the number of edge

Answer 1

We know that,
 F + V − E = 2

Given that number of vertices and faces are 3 and 4 respectively
So,
V = 3
F = 4
4 + 3 - E = 2
7 - E = 2
- E = 2 - 7
- E = - 5
E = 5
So, number of edges are 5

Answer 2

The number of edges = 5

Given :

The number of vertices and faces in a solid are 3 and 4 respectively.

To find :

The number of edges

Concept :

Euler’s formula for Polyhedron :

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

Solution :

Step 1 of 2 :

Write down number of faces , number of vertices , number of edges

V = Number of vertices = 3

F = Number of faces = 4

E = Number of edges = ?

Step 2 of 2 :

Find number of edges

We use Euler’s formula

By Euler’s formula

F + V = E + 2

⇒ 4 + 3 = E + 2

⇒ E + 2 = 7

⇒ E = 7 - 2

⇒ E = 5

The number of edges = 5

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