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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:

Solution

In the given polyhedron:

Edges E=16

Faces F=9

Vertices V=9

Now, putting these values in Euler's formula:

RHS: F+V

= 9+9

= 18

LHS: 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 6.2 | Page 9
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