The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. |
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See also: Pyramid, Platonic Solids - Regular Polyhedra | |
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TetrahedronA (regular) tetrahedron is a polyhedron composed of four equilateral triangular faces, three of which meet at each vertex. It is one of the Platonic solids. The tetrahedron has 7 axes of symmetry: 4 C3 (axes connecting vertices with the centers of the opposite faces) and 3 C2 (the axes connecting the midpoints of opposite sides). The height h of the tetrahedron is defined by h = a/ The volume V of the tetrahedron is given byV = Abh/3 = a3/12 with Ab being the area of the base triangle. The surface area S of the tetrahedron isS = a2 The radii of the circumscribed (rc) and inscribed (ri) spheres arerc = a/4 and ri = a/12, respectively.
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Home Analytic Geometry 3D Solids Platonic Solids Tetrahedron |