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Tetrahedron ‒ Faces

by Corinth

Description

Regular tetrahedron (tetrahedra) is a three-dimensional body, whose surface is made ​​up of four identical equilateral triangles, and has four vertices. Regular tetrahedron belongs among the regular triangular pyramids. Interestingly, the distance of every two vertices of the tetrahedron is the same, unlike other Platonic solids. According to Plato, the tetrahedron is a symbol of fire.



**Mathematical formulas**:



The volume of a tetrahedron:

V = (a³ ∙ √2) ∕ 12



The surface of the tetrahedron:

S = a² ∙ √3