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If a polyhedron has 10 more edges than vertices how many faces does it have?
Wiki User
∙ 7y ago
For all polyhedra:
vertices + faces = edges + 2
The given fact is:
edges = vertices + 10
→ vertices + faces = vertices + 10 + 2
→ faces = 12
Wiki User
∙ 7y ago
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Polyhedron has 10 vertices and 10 edges how many faces?
Such a polyhedron cannot exist. According to the Euler characteristics, V + F - E = 2, where V = vertices, F = faces, E = edges. This would require that the polyhedron had only two faces.
There are 18 edges and 8 faces in a polyhedron. how many vertices does it have?
12 vertices A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
How many faces edges and vertices does cyclinders have?
3 faces, 2 edges, and no vertices
How many faces edges vertices does a tetrahedron have?
4 faces, 6 edges, 4 verticesFour faces, six edges and four vertices.
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A polyhedron with 12 vertices and 30 edges has how many faces?
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Why is a sphere not a polyhedron?
A sphere is not a polyhedron because it has no edges, no vertices and no flat faces The word 'polyhedron' means many faces.
If a polyhedron has 5 faces and 6 vertices how many edges are there?
It is a triangular prism that has 5 faces, 6 vertices and 9 edges
If a convex polyhedron has 12 edges and 8 faces then how many vertices does it have?
It has 6 vertices.
How many faces does a polyhedron have with 18 edges and 12 vertices?
eight
How many edges does a polyhedron have which has four faces and four vertices?
6
Polyhedron has 10 vertices and 10 edges how many faces?
Such a polyhedron cannot exist. According to the Euler characteristics, V + F - E = 2, where V = vertices, F = faces, E = edges. This would require that the polyhedron had only two faces.
There are 18 edges and 8 faces in a polyhedron. how many vertices does it have?
12 vertices A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
A polyhedron with 22 faces and 60 edges has how many vertices?
v=60-20
How many faces and edges does a 3d polyhedron have?
The only thing that can be said that there must be at least 4 faces and at least 6 edges and that the polyhedron must satisfy the Euler criterion which requires that: Faces + Vertices = Edges + 2.
How many faces if there is 16 vertices and 37 edges?
If the object is a convex polyhedron, then, by Euler's characteristics, it should have 23 faces.
How many faces and vertices does a gemstone have with 22 edges?
The number of vertices and faces is 2 more than the number of Edges according to Euler's formula. So a gemstone with 22 edges must have a total of 24 faces and vertices.
