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

If a polyhedron has 4 faces and 3 vertices, then the number of edges is ______________.

 

Right Option : B
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Question : 2

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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Question : 3

If F = n and E = n + 1 , then using Eulers formula , the value of V , is :

Right Option : A
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