Square pyramid (EntityTopic, 23)
From Hi.gher. Space
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*The [[hypervolume]]s of a square pyramid are given by: | *The [[hypervolume]]s of a square pyramid are given by: | ||
<blockquote>total edge length = 8''l''<br> | <blockquote>total edge length = 8''l''<br> | ||
| - | surface area = (1 + | + | surface area = (1 + √3) {{DotHV}}<br> |
volume = {{Over|√2|6}} {{DotHV|3}}</blockquote> | volume = {{Over|√2|6}} {{DotHV|3}}</blockquote> | ||
Revision as of 23:25, 5 February 2014
A square pyramid is a special case of a pyramid where the base is a square.
Equations
- Variables:
l ⇒ length of edges of the square pyramid
- The hypervolumes of a square pyramid are given by:
total edge length = 8l
surface area = (1 + √3) · l2
volume = √2∕6 · l3
- The planar cross-sections (n) of a square pyramid are:
[!x,!y] ⇒ triangle
[!z] ⇒ square
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
| 8. 21 Cone | 9. [11]1 Square pyramid | 10. 111 Triangular prism |
| List of tapertopes | ||
