answersLogoWhite

0


Best Answer

The Euler characteristic requires that

Vertices + Faces = Edges + 2

Here that would require 6 + 7 = 15 + 2 or 13 = 17 which is clearly not true. So there cannot be a polyhedron with the stated configuration.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What polyhedron has 7 faces 15 edges 6 vertices?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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

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


Pentagonal prism faces vertices edges?

7 faces. 10 vertices. 15 edges.


How many faces vertices and edges does a pentagonal prism?

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


How many faces edges vertices does a pentagonal prism have?

It has 7 faces, 10 vertices, and 15 edges


How many faces and vertices and edges are in a pentagonal prism?

Faces: 7 Vertices: 10 Edges: 15


What is the number of faces edges and vertices of a pentagonal prism?

It has 7 faces, 15 edges and 10 vertices


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 edges corners faces does a Heptahedron?

A heptahedron has 7 faces. It can have 6 vertices and 11 edges, or7 vertices and 12 edges, or8 vertices and 13 edges, or9 vertices and 14 edges, or10 vertices and 15 edges.


What is the faces edges vertices for a pentagonal prism?

A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. 7 faces, 15 edges, 10 vertices


How many faces edges and vertices is there on a pentagon prism?

Faces: 7Edges: 15 Vertices: 10


How many faces vertices's and edges dose a pentagonal prisim have?

A pentagonal prism has: 7 faces 10 vertices 15 edges


How many faces and edges and vertices has a pentaginal prism got?

Pentagonal (not pentaginal). 7 faces 15 edges 10 vertices