Can a polyhedron have 12faces ,16edges and 20 vertices?
Answers
Answered by
2
Hi ,
According to the Euler's formula,
F + V = E + 2
Where ,
F = faces,
V = vertices
E = edges
**************
Now ,
F = 12 ,
E = 16 ,
V = 20
F + V = E + 2
12 + 20 = 16 + 2
32 = 18 ( false )
Therefore ,
polyhedron is not formed
with these values.
I hope this helps you.
:)
According to the Euler's formula,
F + V = E + 2
Where ,
F = faces,
V = vertices
E = edges
**************
Now ,
F = 12 ,
E = 16 ,
V = 20
F + V = E + 2
12 + 20 = 16 + 2
32 = 18 ( false )
Therefore ,
polyhedron is not formed
with these values.
I hope this helps you.
:)
Answered by
1
Answer:
NO
Step-by-step explanation:
F+V=E+2
LHS
=> 12+20=32
RHS
=16+2=18
LHS IS NOT EQUAL TO RHS
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