Base Edge of a Triangular Pyramid Calculator

A triangular pyramid is a pyramid with a triangular base. It is a tetrahedron with 4 faces, 4 vertices and 6 edges and its lateral faces are congruent equilateral triangles. This Base Edge of a Triangular Pyramid Calculator helps you to calculate the base length of the pyramid based on the volume, height and apothem length. The apothem length of a pyramid is the slant height of a lateral face (shortest distance from apex to base on a given face).

A triangular pyramid is a pyramid with a triangular base. It is a tetrahedron with 4 faces, 4 vertices and 6 edges and its lateral faces are congruent equilateral triangles. This Base Edge of a Triangular Pyramid Calculator helps you to calculate the base length of the pyramid based on the volume, height and apothem length. The apothem length of a pyramid is the slant height of a lateral face (shortest distance from apex to base on a given face).

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Formula:

Base Edge = (6 x Volume) / (Apothem Length x Height)

Example:

A pyramid has a volume of 45 m3, length of 12m and height of 8m. Find Base Edge of a Triangular Pyramid.

Solution

Base Edge of a Triangular Pyramid = (6 x v) / (a x h)
= (6 x 45) / (12 x 8)
=270 / 96
= 2.8125m

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