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Using Euler’s formula, find the value of unknown p in the following table. Faces p Vertices 6 Edges 12 - Mathematics

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Question

Using Euler’s formula, find the value of unknown p in the following table.

Faces p
Vertices 6
Edges 12
Sum

Solution

By using Euler's formula for polyhedron

From, V = 6, E = 12 and F = p

So, F + V – E = 2

⇒ p + 6 – 12 = 2

⇒ p – 6 = 2

⇒ p = 2 + 6

⇒ p = 8

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Chapter 6: Visualising Solid Shapes - Exercise [Page 197]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 6 Visualising Solid Shapes
Exercise | Q 70. (iv) | Page 197

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