A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

Solution:

Given, F = 20

V = 12

We have to find the number of edges of the given polyhedron.

Euler’s formula for any polyhedron is given by

F + V – E = 2

Where F stands for number of faces,

V for number of vertices

E for number of edges.

Now, 20 + 12 - E = 2

32 - E = 2

E = 32 - 2

E = 30

Therefore, the number of edges is 30.

✦ Try This: A polyhedron has 10 faces and 6 vertices. Find the edges of the polyhedron.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10

NCERT Exemplar Class 8 Maths Chapter 6 Problem 75

A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

Summary:

A polyhedron has 20 faces and 12 vertices. The edges of the polyhedron are 30.

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