19.3 Volume of Pyramids
Prove that volume of a pyramid is 1/3 the volume of cube
A pyramid is a polyhedron with one base that is any polygon . Its other faces are triangles.
The volume of a 3 -dimensional solid is the amount of space it occupies. Volume is measured in cubic units ( in^3,ft^3,cm^3,m^3 , etc). Be sure that all of the measurements are in the same unit before computing the volume.
The volume V of a pyramid is one-third the area of the base B times the height h.
V=1/3 * B* h
where B is the area of the base and h is the height of the pyramid.Proof of the Formula
Proof
In the given figure below
Volume of Cube = Volume of 3 pyramids
or Volume of Pyramid= x Volume of Cube
(Cube र Pyramid को base area र उचाई एउटै छ )