CALCULATOR
Parallelepiped Volume from Base Edges, Included Angle and Perpendicular Height Calculator
Parallelepiped Volume from Base Edges, Included Angle and Perpendicular Height. Example: Base a: 3 m, Base b: 4 m, Included angle: 60 degrees, Perpendicular height: 5 m gives 51.9615242271 m³. Height perpendicular to base, not oblique third edge length; no three-vector determinant inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output u
Height perpendicular to base, not oblique third edge length; no three-vector determinant inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Parallelogram base area times perpendicular distance between opposite bases.
Accepted inputs: Base a: 0.001 to 10,000 m; Base b: 0.001 to 10,000 m; Included angle: 1 to 179 degrees; Perpendicular height: 0.001 to 10,000 m.
Parallelepiped Volume from Base Edges, Included Angle and Perpendicular Height
How the calculation works
V=ab sin(C)h
Worked example
With base a 3 m, base b 4 m, included angle 60 degrees, perpendicular height 5 m, parallelepiped volume from base edges, included angle and perpendicular height is 51.96152423 m³.
Assumptions and limits
Height perpendicular to base, not oblique third edge length; no three-vector determinant inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Parallelogram base area times perpendicular distance between opposite bases.