What shape has exatly 14 vertixes and 20 edges? please help?

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What shape has exatly 14 vertixes and 20 edges? please help?

2007-04-09 10:44:42 · 3 answers · asked by genus at work 1 in Science & Mathematics ➔ Mathematics

3 answers

Use Euler's formula. V-E+F = 2
14 - 20 + F = 1
F = 4
A polyhedron with 4 faces is a tetrahedron

2007-04-09 11:09:14 · answer #1 · answered by Demiurge42 7 · 0⤊ 0⤋

Each vertex must have at least three edges
joining at this vertex. For 14 vertices we need
14 x 3 /2 = 21 edges.

Therefore the shape canot be a polyhedron.

2007-04-09 11:08:53 · answer #2 · answered by Alexander 6 · 0⤊ 0⤋

I have no clue if its right, or if im even close but check a tetrahedron... I think its wrong though...

2007-04-09 10:52:37 · answer #3 · answered by melv1489 2 · 0⤊ 0⤋