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सी.आई.एस.सी.ई.आईसीएसई ICSE Class 8

Can a Polyhedron Have 8 Faces, 26 Edges, and 16 Vertices? - Mathematics

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प्रश्न

Can a polyhedron have 8 faces, 26 edges, and 16 vertices?

योग

उत्तर

Number of faces = 8
Number of vertices = 16
Number of edges = 26
Using Euler’s formula
F + V – E
⇒ 8 + 16 – 26 ≠ -2
⇒ -2 ≠ 2
No, a polyhedron cannot have 8 faces, 26 edges, and 16 vertices.

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अध्याय 19: Representing 3-D in 2-D - Exercise 19 [पृष्ठ २२०]

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सेलिना Concise Mathematics [English] Class 8 ICSE
अध्याय 19 Representing 3-D in 2-D
Exercise 19 | Q 5 | पृष्ठ २२०

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