If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______. Fill in the blank to make the statement true.

Solution:

Given, If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.

We have to fill in the blanks to make the statement true.

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.

Given, F = 12

V = 20

So, 12 + 20 - E = 2

32 - E = 2

E = 32 - 2

E = 30

Therefore, the number of edges is 30.

✦ Try This: If a solid shape has 5 faces and 10 vertices, then the number of edges in this solid is ______. Fill in the blank to make the statement true.

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

NCERT Exemplar Class 8 Maths Chapter 6 Problem 26

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______. Fill in the blank to make the statement true.

Summary:

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is 30.

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