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Using Euler’s formula, find the value of unknown z in the following table. Faces 9 Vertices z Edges 16 - Mathematics

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प्रश्न

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

Faces 9
Vertices z
Edges 16
बेरीज

उत्तर

By using Euler's formula for polyhedron

From, F = 9, E = 16 and V = z

So, F + V – E = 2

⇒ 9 + z – 16 = 2

⇒ z – 7 = 2

⇒ z = 2 + 7

⇒ z = 9

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पाठ 6: Visualising Solid Shapes - Exercise [पृष्ठ १९७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 6 Visualising Solid Shapes
Exercise | Q 70. (iii) | पृष्ठ १९७

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