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Using Euler’s formula, find the value of unknown x, y, z, p, q, r, in the following table. Faces 8 Vertices 11 Edges r - Mathematics

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Sum

Using Euler’s formula, find the value of unknown x, y, z, p, q, r, in the following table.

Faces 8
Vertices 11
Edges r
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Solution

By using Euler's formula for polyhedron

From, F = 8, V = 11 and E = r

So, F + V – E = 2

⇒ 8 + 11 – r = 2

⇒ 19 – r = 2

⇒ r = 19 – 2

⇒ r = 17

Concept: Euler's Formula
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APPEARS IN

NCERT Mathematics Exemplar Class 8
Chapter 6 Visualising Solid Shapes
Exercise | Q 70.(vi) | Page 197

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