A polyhedron is a hard with level faces(from Greek poly- meaning "many" and -hedron definition "face").

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CubeIts deals with are all squares
Triangular PrismIts deals with are trianglesand rectangles
DodecahedronWhat encounters does that have?

So no bent surfaces: cones, spheres and also cylinders room not polyhedrons.

## Common Polyhedra    Platonic Solids  Prisms   Pyramids

Note: the many of polyhedron is either polyhedrons or polyhedra

## Many More Explore 100s of animated Polyhedron Models.You can also see some photos of Polyhedra if girlfriend want.

## Counting Faces, Vertices and also Edges

When us count the number of faces (the level surfaces), vertices (corner points), and edges the a polyhedron we find an amazing thing:

The variety of facesplus the number of verticesminus the variety of edges amounts to 2

This deserve to be written nicely as a little equation:

### F + V − E = 2

It is known as Euler"s Formula (or the "Polyhedral Formula") and also is really useful to make certain we have counted correctly!

### Example: Cube

A cube has:

6 Faces8 Vertices (corner points)12 Edges

F + V − E = 6 + 8 − 12 = 2

### Example: triangular Prism

This prism has:

5 Faces6 Vertices (corner points)9 Edges

F + V − E = 5 + 6 − 9 = 2

But over there are instances where the does not work! check out Euler"s Formula for more.

See more: How Much Do Pro Dart Players Make ? How Much Do Professional Dart Players Earn ## Diagonals

A diagonal is a right line inside a shape that goes native one corner to an additional (but not an edge).

A polyhedron deserve to have lots of diagonals. Can you think the one there is no diagonals?

Geometry solid Geometry Platonic Solids prism