CALCULATOR
Pyramid Volume Calculator
Find pyramid volume from base area and vertical height. Example: Base area: 12 m², Perpendicular height: 2 m gives 8 m³. Any planar base and single apex; vertical height not slant height. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.
Any planar base and single apex; vertical height not slant height. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Pyramid volume is one third equal-base equal-height prism.
Accepted inputs: Base area: 0.001 to 100,000,000 m²; Perpendicular height: 0.001 to 1,000 m.
How the calculation works
V = base area × perpendicular height /3
Worked example
With base area 12 m², perpendicular height 2 m, pyramid volume from base area and vertical height is 8 m³.
Assumptions and limits
Any planar base and single apex; vertical height not slant height. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Pyramid volume is one third equal-base equal-height prism.