CALCULATOR
Right Total Surface Area of a Square Pyramid Calculator
Find square base and all four triangular side-face areas. Example: Side: 2 m, Perpendicular height: 2 m gives 12.94427191 m². Right square pyramid: apex directly above base center; closed surface includes base. Height vertical, not slant height. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding i
Right square pyramid: apex directly above base center; closed surface includes base. Height vertical, 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: Four congruent triangles each area side×slant/2; add square base.
Accepted inputs: Side: 0.001 to 1,000 m; Perpendicular height: 0.001 to 1,000 m.
How the calculation works
A = side² +2 side √(height²+side²/4)
Worked example
With side 2 m, perpendicular height 2 m, square base and all four triangular side-face areas is 12.94427191 m².
Assumptions and limits
Right square pyramid: apex directly above base center; closed surface includes base. Height vertical, 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: Four congruent triangles each area side×slant/2; add square base.