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Trapezoidal Prism Surface Area Calculator

Calculates the Total Surface Area (6 faces) and Lateral Surface Area (4 rectangular sides) of any 3D trapezoidal prism.

Total Surface Area (6 faces)
— sq units
Lateral Surface Area (4 side faces) —
Sum of 2 Trapezoid Bases (2 × A_base) —

Trapezoidal Prism Surface Area Formulas

A trapezoidal prism is composed of:

  • Two congruent trapezoidal bases: Front and back faces, each with area A_base = ½(a + b) · h.
  • Four rectangular lateral faces: Formed by wrapping rectangles around the 4 sides of the trapezoid along length L.

1. Lateral Surface Area (A_lateral)

A_lateral = Perimeter_base × L = (a + b + c + d) × L

2. Total Surface Area (A_total)

A_total = 2 × A_base + A_lateral = (a + b) × h + (a + b + c + d) × L

Looking for solid volume instead? Visit the Trapezoidal Prism Volume Calculator.

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Frequently Asked Questions

How do you calculate the surface area of a trapezoidal prism?
Add the areas of the two trapezoidal ends and all four lateral faces. For a right prism, total surface area equals twice the trapezoid area plus the trapezoid perimeter multiplied by the prism length.
What is the formula for the lateral surface area of a trapezoidal prism?
For a right prism, lateral surface area is LSA = PL, where P is the perimeter of the trapezoidal cross-section and L is the prism length.
What measurements are needed to calculate the total surface area?
You need the two parallel bases, the two non-parallel sides, the perpendicular trapezoid height, and the prism length. These dimensions allow the calculator to find the two end areas and the lateral face areas.
Is lateral surface area the same as total surface area?
No. Lateral surface area includes the side faces but excludes the two trapezoidal ends. Total surface area includes every outside face.
Can I calculate the surface area in square centimetres or square metres?
Yes. Enter consistent linear measurements in centimetres or metres. The surface area will be calculated in square centimetres or square metres, respectively.
Does the surface area formula work for every trapezoidal prism?
The lateral-area formula LSA = PL assumes a right prism, in which the lateral edges are perpendicular to the end faces. An oblique prism requires calculations based on the actual geometry of its lateral faces.