Triangular Pyramid -- From Wolfram MathWorld

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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

e=sqrt(h^2+1/3a^2) (1)
s=sqrt(h^2+1/(12)a^2), (2)

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, Triangle

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Cite this as:

Weisstein, Eric W. "Triangular Pyramid." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TriangularPyramid.html

Subject classifications

  • Geometry
  • Solid Geometry
  • Polyhedra
  • Pyramids
Created, developed and nurtured by Eric Weisstein at Wolfram Research

Tag » What Is A Triangular Pyramid