CALCULATOR
Volume of a Trapezoidal Prism Calculator
Find prism volume with a trapezoid cross-section. Example: Parallel base a: 2 m, Parallel base b: 2 m, Perpendicular trapezoid height: 2 m, Length: 2 m gives 8 m³. a,b parallel trapezoid bases; both heights perpendicular to their respective faces. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does
a,b parallel trapezoid bases; both heights perpendicular to their respective faces. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Trapezoid area times perpendicular prism length.
Accepted inputs: Parallel base a: 0.001 to 1,000 m; Parallel base b: 0.001 to 1,000 m; Perpendicular trapezoid height: 0.001 to 1,000 m; Length: 0.001 to 1,000 m.
How the calculation works
V = (a+b) × trapezoid height × prism length /2
Worked example
With parallel base a 2 m, parallel base b 2 m, perpendicular trapezoid height 2 m, length 2 m, prism volume with a trapezoid cross-section is 8 m³.
Assumptions and limits
a,b parallel trapezoid bases; both heights perpendicular to their respective faces. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Trapezoid area times perpendicular prism length.