Math, asked by smartyprince, 1 year ago

⏺find the number of edges of a polyhedron having 20 faces and 12 vertices⏺

Answers

Answered by MOSFET01
210
Euler's formula:

V - E + F = 2.

F=20

E=?

V=12

12-E+20=2

32-2=E

E=30

I hope it's good

BrainlyQueen01: Edit your answer please.
BrainlyQueen01: 12-E+20 = 2 ➡ 32-2 ➡ 30
MOSFET01: oh sorry
BrainlyQueen01: it's ok
Answered by BrainlyQueen01
170
\bold{\boxed{Solution:}}

According to the formula given by Euler.

F + V = E + 2

Where,

F = no. of faces

V = no. of vertices

E = no. of edges

So,

\bold{\boxed{F + V = E + 2}}

=> 20 + 12 = E + 2

=> 32 = E + 2

=> E = 32 - 2

=> E = 30

Therefore, there are 30 edges of a polyhedron having 20 faces and 12 vertices.

\bold{\boxed{Thank you!!}}
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