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What shape has 6 faces 11 vertices and 4 edges?
No simply connected polyhedron since it does not meet the requirements of the Euler characteristic, which states that F + V = E + 2 F = number of faces V = number of vertices E = number of edges
How do you determine how many faces a polyhedron has?
The number of faces,F,vertices,Vand edges,E of a polyhedron are related by F+V=E+2 (Euler's Theorem) so F=(E+2)-V
If you have 20 vertexes and 30 edges how many faces do you have?
According to the Euler characteristic for polyhedra, V + F = E + 2 where V = Vertices (not vertexes), F = Faces and E = Edges. So F = 12
How many edges vertices faces does a cube have?
A cube has 6 faces, 8 vertices, and 12 edges.A cube is a solid with 4 faces on the sides, one on the top and bottom, so 6 all together. There is a famous formula from Euler that tells us how the edges, vertices and faces all relate:Euler tells us the F+V-E = 2 where F is number of faces, V the number of vertices and E the number of edges.For the cube we have 6 faces, 8 vertices and 12 edges.6 + 8 - 12 = 2Remember,faces are the flat sides.Edges are the lines where two of the faces meet.Vertices are the corners where three or more of the faces meet.
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.
How many vertices edges faces does a polyhedra have?
A polyhedron is a generic term for 3 dimensional objects which are bounded by polygonal faces. They can have 4 or more vertices, 6 or more edges and 4 or more faces. The numbers of vertices (V), edges (E) and faces (F) must also satisfy the Euler characteristic: F + V = E + 2.
What is the relationship between faces vertices and edges in prisms?
In a prism, the number of faces, vertices, and edges are related by the formula F + V - E = 2, known as Euler's formula. For a prism, which has two parallel and congruent faces connected by rectangular faces, the number of faces (F) is equal to the sum of the number of rectangular faces and the two congruent bases. The number of vertices (V) is equal to the number of corners where edges meet, and the number of edges (E) is equal to the sum of the edges around the bases and the edges connecting the corresponding vertices of the bases.
Any hexahedron has how many faces vertices and edges?
A hexahedron has six faces (F). It can have 9 to 12 edges (E). The number of vertices, V, is determined by the Euler characteristic, which gives V = E + 2 - F or V = E - 4
6 F on a D?
6 faces on a dice
What is 4 F on a P?
4 Faces on a Pyramid
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.
Which angle in DEF has the largest measure?
NO.
