CALCULATOR
Height of a Square Pyramid Calculator
Find perpendicular square-pyramid height from volume and base side. Example: Volume: 12 m³, Side: 2 m gives 9 m. Square base; vertical height from volume, not slant height. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.
Square base; vertical height from volume, not slant height. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only. Derivation: Invert V=side²h/3.
Accepted inputs: Volume: 0.001 to 100,000,000 m³; Side: 0.001 to 1,000 m.
How the calculation works
height = 3 volume /side²
Worked example
With volume 12 m³, side 2 m, perpendicular square-pyramid height from volume and base side is 9 m.
Assumptions and limits
Square base; vertical height from volume, not slant height. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only. Derivation: Invert V=side²h/3.