Triangular Pyramid
A triangular pyramid is a pyramid having a triangular base. The tetrahedron is a triangular pyramid having congruent equilateral triangles for each of its faces.
The edge length e and slant height s of a regular triangular pyramid is a special case of the formula for a regular n-gonal pyramid with n=3, given by
where h is the height and a is the length of a side of the base.
Like all pyramids, the volume of triangular pyramid is given by
| V=1/3Ah, |
(3)
|
where A is the area of the triangular base and h is the height of the pyramid.
The regular tetrahedron is a special case of the triangular pyramid.
See also
Pentagonal Pyramid, Pyramid, Square Pyramid, Tetrahedron, TriangleExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Triangular Pyramid." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TriangularPyramid.html