The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Analytic Geometry 3D Solids Pyramid  
See also: Pyramidal Frustum, Tetrahedron, Dodecahedron  
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PyramidA pyramid is a geometric shape formed by connecting a polygonal face with a single point (the apex), thus creating n triangular faces (for a polygon of n vertices). At the left you see an oblique, quadrilateral pyramid and a right regular pentagonal pyramid. There are only three kinds of pyramids which may have equilateral triangles: the tetrahedron, the square pyramid, and the pentagonal pyramid. All other pyramids don't have equilateral triangles. A right pyramid is a solid for which the line between the centroid C of the base polygon and the apex is perpendicular to the base. The volume V of the pyramid is given by V = A_{b}h/3 with A_{b} being the area of the base polygon. For regular pyramids with n vertices of the base polygon, the volume V can be calculated as with a being the length of a side of the base polygon.


Home Analytic Geometry 3D Solids Pyramid 