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Look at the shapes given below and state which of these are polyhedra using Euler’s formula. - Mathematics

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प्रश्न

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

योग

उत्तर

In the given figure, we have

Faces (F) = 2, Vertices (V) = 1 and Edges (E) = 0

On putting these values in Euler's formula, we get

F + V – E = 2

⇒ 2 + 1 – 0 = 2

⇒ 3 ≠ 2

Hence, these values do not satisfy the Euler's formula. So, it is not a polyhedra.

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अध्याय 6: Visualising Solid Shapes - Exercise [पृष्ठ १९३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 6 Visualising Solid Shapes
Exercise | Q 67. (k) | पृष्ठ १९३

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