Eulers Formula


 
 
Concept Explanation
 

Eulers Formula

Polyhedron:

Any figure / shape whose faces are polygons that is triangles, quadrilaterals etc is called a polyhedron.

Eulers Formula:

Each polyhedron has faces, edges and Vertices. If F, E and V denote respectively the number of faces, edges and vertices of a polyhedron, then the formula showing the relation between them is the called Euler's formula. The formula is

F - E + V = 2.

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Sample Questions
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Question : 1

Find out the faces in the following expressions : - 

1. If edges = 28

      vertices = 34

      faces = ?

2. If  edges = 19

       vertices = 25

       faces = ?

Right Option : D
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Question : 2

Find out the missing values of a shape by using Eulers formula :- 

1. In a cube having  6 faces , 8 vertices the value of  edge is ____________.

2. In a pyramid having 4 faces , 4 vertices the value of edge is ___________.

3. In a sphere having 4 faces , 4 vertices the value of edge is ___________..

Right Option : D
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Explanation
Question : 3

Fill in the blanks In the following table of  polyhedrons :-

        Polyhedrons    Faces 

   Edges 

Vertices

 1. Pyramid 

5  8 _____
 2. Cube  6 12 _____
 3.  Triangular prism  5 8 _____

 

Right Option : C
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Explanation
 
 


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