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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

Solution

In the following polyhedron:

Edges E=16

Faces F=9

Vertices V=9

Now, putting these values in Euler's formula:

LHS: F+V

= 9 + 9

 = 18

RHS: E + 2

=16+2

=18

LHS = RHS

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 6.5 | Page 9
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