can a polyhedron have 10 faces, 20 edges and 15 vertices?

V = 15

E = 20 

F = 10

Let's begin by introducing the protagonist of this story — Euler's formula:

V - E + F = 2.

 

15 - 20 + 10 = 2

-5 + 10 = 2

5 = 2

So, it cannot be formed

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Thumbs up plz

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faces = 15

edges=20

faces =10

let us use the uelers formula to verify that it can be a polyhedron or not.

F + V - E =2

20 + 15 -10 =2

35 -10 =2

25 IS NOT EQUAL TO 2.

HENCE,IT CANNOT BE A POLYHEDRON.

HOPE IT HELPS

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according to euler's formula a polyhedron is possible if

f + v -e =2

10+15-20

=25-20

=5

hence 5 is not equal to 2 so polyhedron is not possible

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faces = 10

edges=20

faces =15

let us use the uelers formula to verify that it can be a polyhedron or not.

F + V - E =2

10 + 15 -20 =2

25 -20 =2

5 IS NOT EQUAL TO 2.

HENCE,IT CANNOT BE A POLYHEDRON.

HOPE IT HELPS

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no

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no according to euler's formula

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no because

the euler rule = face + vertice - edge =  2

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