Volume of a pyramid

V=\tfrac13 P_p\cdot H

Result unit: volume units

What it describes

The volume of a pyramid is one third of the product of the base area and the height.

V

volume

P_p

base area

H

height

A pyramid has one third the volume of a prism with the same base and height. The same factor

\tfrac13

appears for a cone.

Pyramids.

Base area 9 cm², height 4 cm. Find the volume of the pyramid.

Substitution

P_p=9

H=4

Result

V=\tfrac13\cdot9\cdot4=12

cm³.

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