A polyhedron has 7 faces and 10 vertices. How many edges does the polyhedron have?

Solution:

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

Given, number of faces F = 7

Number of Vertices V = 10

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,

7 + 10 - E = 2

17 - E = 2

17 - 2 = E

E = 15

Therefore, the number of edges is 15.

✦ Try This: A polyhedron has 8 faces and 15 vertices. How many edges does the polyhedron have?

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

NCERT Exemplar Class 8 Maths Chapter 6 Sample Problem 13

A polyhedron has 7 faces and 10 vertices. How many edges does the polyhedron have?

Summary:

A polyhedron has 7 faces and 10 vertices. The polyhedron has 15 edges.

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