CALCULATOR
Right Total Surface Area of a Rectangular Pyramid Calculator
Find rectangular base and all four side-face areas. Example: Length: 2 m, Width: 2 m, Perpendicular height: 2 m gives 12.94427191 m². Right rectangular pyramid: apex over base center. Closed total area includes base; vertical height supplied. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is d
Right rectangular pyramid: apex over base center. Closed total area includes base; vertical height supplied. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only. Derivation: Each opposite triangular face pair has area base length times its slant height.
Accepted inputs: Length: 0.001 to 1,000 m; Width: 0.001 to 1,000 m; Perpendicular height: 0.001 to 1,000 m.
How the calculation works
A = lw +l√(h²+w²/4)+w√(h²+l²/4)
Worked example
With length 2 m, width 2 m, perpendicular height 2 m, rectangular base and all four side-face areas is 12.94427191 m².
Assumptions and limits
Right rectangular pyramid: apex over base center. Closed total area includes base; vertical height supplied. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only. Derivation: Each opposite triangular face pair has area base length times its slant height.