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

Advertisement
Advertisement
Advertisement
Sum

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

Advertisement

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.

  Is there an error in this question or solution?
Chapter 19: Representing 3-D in 2-D - Exercise 19 [Page 220]

APPEARS IN

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

Video TutorialsVIEW ALL [1]

Share
Notifications



      Forgot password?
Use app×