Find the number of vertices in a polyhedron which has 30 edges and 12 faces.

Solution:

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

Given, number of faces F = 12

Number of Edges E = 30

Euler’s formula for any polyhedron is, F + V – E = 2

Where F stands for number of faces,

V for number of vertices

E for number of edges.

According to the question,

12 + V - 30 = 2

V - 18 = 2

V = 2 + 18

V = 20

Therefore, the number of vertices is 20.

✦ Try This: Find the number of vertices in a polyhedron which has 20 edges and 8 faces

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

NCERT Exemplar Class 8 Maths Chapter 6 Sample Problem 14

Find the number of vertices in a polyhedron which has 30 edges and 12 faces.

Summary:

The number of vertices in a polyhedron which has 30 edges and 12 faces is 20.

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