Math, asked by sreeja7, 1 year ago

count the number of faces,vertices,and edges of given polyhedra and verify Euler's formula

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Answers

Answered by amitnrw
2

Given : Figures

To Find : number of faces,vertices,and edges of given polyhedra and verify Euler's formula

Solution:

Euler formula for faces  = Edges - Vertex + 2

=> F = E - V + 2

=> V + F = E + 2

Pyramid :

Vertex = 5

Faces = 5

Edges = 8

=> 5 + 5 = 8 + 2

=> 10 = 10

8 Faces

12 Vertex

Edges = 18

8 + 12 = 18 + 2

=> 20 = 20

3rd figure is not clear.

Faces = 7

Vertex = 10

Edges = 15

7 + 10 = 15 + 2

=> 17 = 17

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