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By the Euler characteristic for polyhedra, F + V = E + 2
where F = # faces, E = # egdes, V = # vertices.
The equation implies that E - V = F - 2
Thus, if the polyhedron solid has more than two faces (it must have at least 4) then the right hand side is positive. So the left hand side must be positive. That is, E must be greater than V.
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Earn +20 ptsQ: What solids have more edges than vertices?
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Continue Learning about Math & Arithmetic
A cube has more edges than vertices?
True. A cube has 12 edges and 8 vertices.
What shape has 4 more edges than vertices?
pyramid
Does a cube has more edges than vertices?
yes. a cube has 12 edges and 8 verticies
What solid figure has 4 more edges than vertices?
A triangular dipyramid (two tetrahedrons or triangular pyramids stuck together) has 9 edges and 5 vertices. A parallelepiped (including cuboid) has 12 edges and 8 vertices
A pyramid with a square base has how many more edges than vertices?
43 moreVertices:5 Edges:8 so 8-5=3 more edges
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