The word "polyhedron" comes from two Greek words, poly an interpretation many, and also hedron referring to surface.

You are watching: How many edges does a polyhedron have

The polyhedrons are characterized by the number of faces that has.

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An example of a polyhedron

Parts of a polyhedron

Every polyhedron has three parts:

Face: the flat surfaces that comprise a polyhedron are dubbed its faces. These faces are regular polygons.Edge: the regions where the two flat surfaces fulfill to form a heat segment are well-known as the edges.Vertex: the is the allude of intersection of the edge of the polyhedron. A peak is likewise known together the corner of a polyhedron. The plural of crest is referred to as vertices.

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The name of the polyhedrons are acquired from the variety of faces lock have:


Name

No. The faces

Tetrahedron

A polyhedron through 4 faces.

Pentahedron

A polyhedron with 5 faces.

Hexahedron

A polyhedron through 6 faces.

Heptahedron

A polyhedron with 7 faces.

Octahedron

A polyhedron v 8 faces.

Nonahedron

A polyhedron v 9 faces.

Decahedron

A polyhedron through 10 faces


Types of polyhedron

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Regular Polyhedron

A continual polyhedron is comprised of continual polygons. Such solids are likewise known as ‘platonic solids’

Irregular polyhedron

An irregular polyhedron is created by polygons of different shapes whereby all the materials are no the same. This way that all the political parties of an irregular polyhedron space not equal.

Some the the consistent polygons are described in the table below:

Polyhedrons in everyday life


Examples

Images

Houses/Buildings: most of the houses roughly us room polyhedrons together they space made of level surfaces.

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A prism: A prism is made of 3 rectangles joined together with triangular bases

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A soccer or a soccer ball

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Pyramids: A polyhedron with four sides is a tetrahedron and is also called a pyramid.

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Fun facts around a polyhedron

If us know about the variety of faces and also the vertex of a polyhedron, the number of edges have the right to be calculated using the ‘polyhedron formula’ or ‘Euler’s formula’.

F + V = E + 2

where F, V, and also E represents the variety of faces, edges and vertices the the polyhedron respectively.

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