192,840 views
13 votes
13 votes
Could a polyhedron have 10 faces, 3 vertices and 11 edges

User Felix Petriconi
by
3.0k points

1 Answer

17 votes
17 votes

Answer:

Yes, it can.

Explanation:

Possibility of this bring a polyhedron can be proved by Euler's formula, i.e

F+V-E=2

F=10 V=3 E=11

=10+3-11

Essentially, it is 13 - 11, which is 2.

2 = 2, so yes, this does work.

User Luke Tierney
by
3.1k points