Geometry · Area, Surface Area & Volume
Volume of a Pyramid
HSG-GMD.A.3
Definition
V = one third B h, one third the base area times the height.
Examples
- A pyramid with base area 12 and height 9 has volume one third (12)(9) = 36 cubic units.
- A pyramid with the same base and height as a prism has exactly one third its volume.
Key rule
A pyramid's volume is always one third of a prism with the same base and height.
Memory hook
One third of a matching prism.