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Earn +20 ptsQ: What is the relationship between vertices faces and edges of a 3D shape?
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Is there a relationship between the number of faces edges and vertices of polyhedra?
For convex polyhedra it is called the Euler characteristic.This requires that V - E + F = 2where V = number of vertices,E = number of edges andF = number of faces.
How many faces edges vertices does a tetrahedron have?
4 faces, 6 edges, 4 verticesFour faces, six edges and four vertices.
How many faces vertices and edges does an octagonal prism have?
Faces: 10 Vertices: 16 Edges: 24
How many faces edges and vertices does cyclinders have?
3 faces, 2 edges, and no vertices
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.
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