Well, an edge is basically the part where two faces meet. So the way that you can tell the amount of faces and the amount of edges on a cube is simple. There's 12 edges and 6 faces on a cube. But then the relationship between the two is; the edges connect the faces together. Thus creating a cube.
nobody cares
Their relationship is modelled by the equation F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges.
Every face has 3 edges. CAUTION: DO NOT multiply the # of sides by 3, as that will not get you the # of edges. a triangular pyramid has 7 edges
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.
In a polyhedron, there are edges, faces, and corners. The thing that is similar, or common, between the edges, faces, and corners are the vertices.
there are 5 faces and 6 edges
nobody cares
Their relationship is modelled by the equation F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges.
If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2
some numbers are the same
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.
Every face has 3 edges. CAUTION: DO NOT multiply the # of sides by 3, as that will not get you the # of edges. a triangular pyramid has 7 edges
Topology.
F + V = E + 2
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.
In a polyhedron, there are edges, faces, and corners. The thing that is similar, or common, between the edges, faces, and corners are the vertices.