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Verify Euler'S Formula for the Following Polyhedron: - Mathematics

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Question

Verify Euler's formula for the following polyhedron:

Answer in Brief
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Solution

In the following polyhedron:

Edges E=21

Faces F=9

Vertices V=14

Now, putting these values in Euler's formula:

LHS: F+V

 = 9+14

= 23

RHS: E+2

=21+2 

=23 

Thisis true.

Hence, Euler's formula is satisfied.

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Chapter 19: Visualising Shapes - Exercise 19.1 [Page 9]

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RD Sharma Mathematics [English] Class 8
Chapter 19 Visualising Shapes
Exercise 19.1 | Q 6.3 | Page 9
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