Volume of a Pyramid
The volume of a -dimensional solid is the amount of space it occupies. Volume is measured in cubic units ( , et cetera). Be sure that all of the measurements are in the same unit before computing the volume.
The volume of a pyramid is one-third the area of the base times the height .
Find the volume of a regular square pyramid with base sides cm and altitude cm.
Draw a figure.
The formula for the volume of a pyramid is,
Since the base of the pyramid is a square, the base area is or .
So, substitute for and for in the formula.
Therefore, the volume of the square pyramid is .