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


The volume of a regular quadrilateral pyramid

Definition:

A regular quadrilateral pyramid is a polyhedron, one of which faces, that has the role of base, is a square, and the other – lateral faces are similar triangles with a common apex. The apex is lowered to the base through its height.

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

Computing relationship:

where:

a — the side of a square from a pyramid base;

h — the height of a pyramid.

Calculator: the volume of a regular quadrilateral pyramid


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

the side of a square from a pyramid base — a

the height of a pyramid (OS) — h

 


the volume of a regular quadrilateral pyramid =

 

 

context information: contemporary and archaic unit of measurement of area