Question

41) The number of faces and vertices in a solid are 7 and 10 respectively. Find
the number of edges in it using EULER'S FORMULA.​

Answer 1

Answer:

F + V = E + 2

Step-by-step explanation:

let the number of Edges be X

7 + 10 = X + 2

17 = X + 2

17 - 2 = X

15 = X

number of Edges in that solid is 15

Answer 2

The number of edges in the solid = 15

Given :

The number of faces and vertices in a solid are 7 and 10 respectively

To find :

The number of edges in the solid

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

E = Number of edges = ?

V = Number of vertices = 10

F = Number of faces = 7

Step 2 of 2 :

Find number of edges in the solid

We use Euler’s formula

By Euler’s formula

F + V = E + 2

⇒ 7 + 10 = R + 2

⇒ E + 2 = 17

⇒ E = 17 - 2

⇒ E = 15

The number of edges in the solid = 15

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