Lateral Area Trapezoidal Prism Calculator

Lateral Area - Trapezoidal Prism Calculator

Calculate trapezoidal prism lateral area, total surface area, and volume from a trapezoid base.

Last updated: June 2026 | By Patchworkr Team

Prism Dimensions

Base 1 is required.

Base area uses trapezoid area, lateral area equals perimeter of the trapezoid times prism depth, and volume is base area times prism depth.
Live Results
Enter valid dimensions to see results.

Formulas

Trapezoid area: A = ((b1 + b2) / 2) x h

Lateral area: LA = perimeter x prism depth

Total surface area: TSA = LA + 2A

Volume: V = A x prism depth

Worked Example

Example: b1 = 8, b2 = 5, legs 3 and 3, trapezoid height 2.4, depth 10
Base area: ((8 + 5) / 2) x 2.4 = 15.6
Perimeter: 8 + 5 + 3 + 3 = 19
Lateral area: 19 x 10 = 190
Volume: 15.6 x 10 = 156

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