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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 truncated pyramid

Definition:

A truncated pyramid is a geometric solid obtained by sectioning the pyramid with a plane which is parallel to its base.

The volume of a truncated pyramid is one third of a product of the height and the sum of the area of base face (ABSDE), small base S2 (abcde) and their proportional average value.

Computing relationship:

where:

S1 — the area of a lower base of a truncated pyramid;

S2 — the area of a upper base of a truncated pyramid;

h — the height of a truncated pyramid.

Calculator: the volume of a truncated pyramid


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

the area of a lower base of a truncated pyramid — S1

the area of a upper base of a truncated pyramid — S2

the height of a truncated pyramid — h

 


the volume of a truncated pyramid =

 

 

context information: contemporary and archaic unit of measurement of area