Elongated triangular pyramid: Difference between revisions

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:<math>A=\left(3+\sqrt{3}\right)a^2\approx4.73205...a^2</math>
 
The [[height]] is given by<ref name="pye">{{cite journal |last=Sapiña |first=R. |title=Area and volume of the Johnson solid J<sub>7</sub> |url=https://www.problemasyecuaciones.com/geometria3D/volumen/Johnson/J7/calculadora-area-volumen-formulas.html |issn=2659-9899 |access-date= 2020-08-12 |language=es |journal = Problemas y ecuacionesEcuaciones}}</ref>
:<math>H = a\cdot \left( 1 + \frac{\sqrt{6}}{3}\right) \approx a\cdot 1.816496581</math>
If the edges are not the same length, use the individual formulae for the tetrahedron and triangular prism separately, and add the results together.
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==Related polyhedra and honeycombs==
 
The elongated triangular pyramid can form a [[tessellation of space]] with [[square pyramid]]s and/or [[Octahedron|octahedra]].<ref>{{Cite web|url=http://woodenpolyhedra.web.fc2.com/J7.html|title=J7 honeycomb}}</ref>
 
==References==