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

Sum

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

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Solution

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.

Concept: Concept of Polyhedron
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 19 Representing 3-D in 2-D
Exercise 19 | Q 5 | Page 220
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