A square and a rectangle as well as other quadrilaterals
If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2
A sphere- there are no faces, edges or vertices
It has 7 faces, 15 edges and 10 vertices
Faces + Vertices = Edges + 2
Sphere ( 0 faces , 0 edges , 0 vertices )
There is not a polyhedron with the given number of faces, edges and vertices.
The REGULAR dodecahedron, formed from 15 pentagonal faces, has 30 edges. But there are a number of other 3-dimensional figures which have 12 faces (sides), with different numbers of edges and vertices.
a hexagonal pyramid
A cuboid or a cube has 12 edges, 6 faces and 8 vertices
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
for any prism , number of ___ + number of vertices = number of edges + ___
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.