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MaTh Learning CenTer Platonic Solids Worksheet By Chuck Summers In three dimensional space, a ​
Platonic solid​
is a regular, convex polyhedra. It is constructed by c​
ongruent regular polygons with the same number of faces meeting at each vertex. Five solids meet those criteria, and each is named after its number of faces. Those solids are: Tetrahedron​
or triangular pyramid (4 faces) (By User:DTR ­ Vectorisation of Image:Tetrahedron.jpg, CC BY­SA 3.0, ​
https://commons.wikimedia.org/w/index.php?curid=2231463​
) 4 faces Hexahedron​
or Cube (6 faces) (By User:DTR ­ Vectorisation of Image:Hexahedron.jpg, CC BY­SA 3.0, ​
https://commons.wikimedia.org/w/index.php?curid=2231470​
) 6 faces Octahedron​
(8 faces)(By User:Stannered ­ Vectorisation of Image:Octahedron.jpg, CC BY­SA 3.0, https://commons.wikimedia.org/w/index.php?curid=1742116​
) 8 faces Dodecahedron​
(12 faces) (By User:Stannered ­ Vectorisation of Image:Octahedron.jpg, CC BY­SA 3.0, ​
https://commons.wikimedia.org/w/index.php?curid=1742116​
) 10 faces Icosahedron​
(20 faces). (By User:DTR ­ Vectorisation of Image:Icosahedron.jpg, CC BY­SA 3.0, https://commons.wikimedia.org/w/index.php?curid=22315530 20 faces Activity​
: These solids can be constructed from the pdf's found in the following locations: http://www.korthalsaltes.com/pdf/collection_002.PDF http://www.korthalsaltes.com/pdf/collection_002_light_colors.pdf Print out only the 5 Platonic solids and cut them out and have the student assemble them. Make note of the number of faces, edges, and vertices in the following table: Polyhedron Vertices Edges Faces Euler's formula (V) (E) (F) V­E+F Tetrahedron Octahedron Icosahedron Hexahedron Dodecahedron Identification of solids Another activity is to have the student identify the solids based on their faces. Draw a line from the solid to it's name. Icosahedron Hexahedron Dodecahedron Octahedron Tetrahedron