Pentagonal pyramid (EntityTopic, 12)

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A pentagonal pyramid is a special case of a pyramid where the base is a pentagon.

Equations

  • The hypervolumes of a pentagonal pyramid with side length l are given by:
total edge length = 10l
surface area = 14 · (5√3 + √(25+10√5)) · l2
volume = 124 · (5 + √5) · l3


Notable Trishapes
Regular: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind