FACES EDGES AND VERTICES

Observe the following shape. 

What is it?

A cube. A cube is made of six square shaped planes. These 6 square shaped planes of the cube are known as its faces.

A line segment which connects any two faces of a cube is called as Edge and each corner point where three edges meet is called as Vertex. So, a cube has 6 faces, 12 edges and 8 vertices.

Name and write the number of faces (F), vertices (V) and edges (E) for the following polyhedrons. Also find F + V – E.

Example 1 :

Solution :

Name : Cube

Face : 6

Vertices : 8

Edges : 12

F + V - E = 6 + 8 - 12 = 2

Example 2 :

Solution :

Name : Cuboid

Face : 6

Vertices : 8

Edges : 12

F + V - E = 6 + 8 - 12 = 2

Example 3 :

Solution :

Name : Triangular Prism

Face : 5

Vertices : 6

Edges : 9

F + V - E = 5 + 6 - 9 = 2

Example 4 :

Solution :

Name : Square Pyramid

Face : 5

Vertices : 5

Edges : 8

F + V - E = 5 + 5 - 8 = 2

Example 5 :

Solution :

Name : Triangular Pyramid

Face : 4

Vertices : 4

Edges : 6

F + V - E = 4 + 4 - 6 = 2

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