find the number of edges in polyhedron with 10 faces and 12 vertices
Khushi100100:
please help me
Answers
Answered by
12
There's a given formula ( 'Euler's rule' to be precise) stating that:
Vertices + Faces= 2+ Edges
Therefore:
12+ 10= 2 + Edges
20= No. of edges
That's it, hope that helped.
Vertices + Faces= 2+ Edges
Therefore:
12+ 10= 2 + Edges
20= No. of edges
That's it, hope that helped.
Answered by
7
Heya user,
Euler's formula for a polyhedron may help :->
It says, F = no. of faces, V= no. of vertices and E = no. of edges,
Then,
---> F + V = E + 2
Substituting the values, 10 + 12 = E + 2
=> E = 10 + ( 12 - 2 )
=> E = 10 + 10 = 20;
.'. No. of edges of the polyhedron = 20
Euler's formula for a polyhedron may help :->
It says, F = no. of faces, V= no. of vertices and E = no. of edges,
Then,
---> F + V = E + 2
Substituting the values, 10 + 12 = E + 2
=> E = 10 + ( 12 - 2 )
=> E = 10 + 10 = 20;
.'. No. of edges of the polyhedron = 20
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