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unit of measure: the base unit | the supplementary unit | the derived unit

geometry: the area of a flat figure | the area of a solid | the volume of the solid

The volume of a regular triangular pyramid

Definition:

The regular triangular pyramid is a polyhedron, one of which faces has the role of its base and it is a regular triangle, and the others – lateral faces are equal triangles with a common apex. The common apex is lowered in the center of the base through the height.

The volume of a regular triangular pyramid is one third from the product of the base (ABC) and height (OS) of it.

Computing relationship:

where:

a — the side of a regular triangle from a pyramid base;

h — the height of a regular triangular pyramid.

Calculator: the volume of a regular triangular pyramid

For separation of number integers and decimals, use the symbol – point [.]

the side of a regular triangle from a pyramid base — a

the height of a regular triangular pyramid — h

 

the volume of a regular triangular pyramid =

 

 

context information: contemporary and archaic unit of measurement of area