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Subjects>Math>Geometry

Can a polyhedron have 10 faces 20 edges and 15 vertices?

Anonymous

∙ 12y ago

Updated: 4/28/2022

No. The numbers are not consistent with the requirements of the Euler characteristic.

Wiki User

∙ 12y ago

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Q: Can a polyhedron have 10 faces 20 edges and 15 vertices?

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How many faces edges and vertices does a pentagonal pyramid have?

A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.

Number of faces and edges and vertices of a decahedron?

A decahedron is a polyhedron with 10 faces. There are several versions of a decahedron, but none of these are regular. By definition, they all have 10 faces. There is the octagonal prism - with 24 edges and 16 vertices, the square anti-prism, with 16 edges and 8 vertices, the square cupola, with 20 edges and 12 vertices, the pentagonal bi-pyramid, with 15 edges and 7 vertices and the augmented pentagonal prism, with 19 edges and 11 vertices. See, for example, http://en.wikipedia.org/wiki/Decahedron

Pentagonal prism faces vertices edges?

7 faces. 10 vertices. 15 edges.

What has 7 faces 15 edges and 10 vertices's?

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How many faces edges vertices does a pentagonal prism have?

It has 7 faces, 10 vertices, and 15 edges

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Related Questions

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.

If a polyhedron has 10 more edges than vertices how many faces does it have?

Oh, dude, it's like a math riddle! So, if a polyhedron has 10 more edges than vertices, we can use Euler's formula: Faces + Vertices - Edges = 2. Since we know the relationship between edges and vertices, we can substitute that in and solve for faces. So, it would have 22 faces. Math can be fun... sometimes.

What do you call a polyhedron with 6 faces 10 edges and 6 vertices?

A pentagonal pyramid.

Does a polyhedron have 10 faces 28 edges and 18 vertices?

No. The given numbers do not satisfy the Euler characteristic for a simply connected polyhedron.

How many faces vertices and edges does an octagonal prism have?

Faces: 10 Vertices: 16 Edges: 24

What has 12 faces 10 edges 20 vertices?

Not any normal polyhedron since the numbers are contary to the Euler characteristic.

What shape has 9 faces 18 edges and 10 vertices?

There can be no such polyhedron since the given numbers are not consistent with the Euler characteristic.

How many faces edges and vertices does a pentagonal pyramid have?

A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.

How many edges faces and vertices does a pentagonal pyramid?

A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.

How many faces vertices and edges does a pentagonal prism?

A pentagonal prism has 7 faces, 10 vertices and 15 edges.

Number of faces and edges and vertices of a decahedron?

A decahedron is a polyhedron with 10 faces. There are several versions of a decahedron, but none of these are regular. By definition, they all have 10 faces. There is the octagonal prism - with 24 edges and 16 vertices, the square anti-prism, with 16 edges and 8 vertices, the square cupola, with 20 edges and 12 vertices, the pentagonal bi-pyramid, with 15 edges and 7 vertices and the augmented pentagonal prism, with 19 edges and 11 vertices. See, for example, http://en.wikipedia.org/wiki/Decahedron

How many vertices faces and edges does a pentagon based pyramid have?

A pentagonal based pyramid has 6 faces, ten edges and 6 vertices.

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