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# Determine the number of edges, vertices and faces in the following figure:

**Solution:**

We have to find the number of faces, edges and vertices in the given figure.

The given figure has equal length, width and height.

Therefore, the given figure is a Cube.

The polygonal regions are called faces.

Number of faces in the cube = 7

The line segment formed by the intersection of two faces is called edges.

Number of edges = 15

Vertex is a point where two or more edges meet.

Number of vertices = 10

**Verification:**

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.

Now, F + V = E + 2

LHS: F + V

F + V = 7 + 10

= 17

RHS = E + 2

E + 2 = 15 + 2

= 17

LHS = RHS

Therefore, the number of faces, vertices and edges are 7, 10 and 15.

**✦ Try This: **Determine the number of edges, vertices and faces in the following figure:

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

**NCERT Exemplar Class 8 Maths Chapter 6 Sample Problem 18**

## Determine the number of edges, vertices and faces in the following figure.

**Summary:**

The number of faces, edges and vertices in the given figure are 7, 15 and 10.

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