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Trapezoidal Prism Volume Calculator

A 3D trapezoidal prism has two congruent trapezoidal faces separated by length (or height) $L$. Volume is calculated as cross-sectional area multiplied by length: V = A_base × L.

Calculated 3D Volume
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Base a Base b Length (L) h

Volume Formula for a Trapezoidal Prism

The volume ($V$) of any right prism equals the area of its base polygon multiplied by the perpendicular distance between the two base ends:

V = A_base × L = [½ × (a + b) × h] × L

Need the surface area of the 6 faces? Visit our Trapezoidal Prism Surface Area Calculator.

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Frequently Asked Questions

How do you calculate the volume of a trapezoidal prism?
Calculate the area of the trapezoidal cross-section, then multiply it by the prism's length. The formula is V = ½(a + b)hL, where a and b are the parallel bases, h is the trapezoid's height, and L is the prism length.
What measurements are needed for a trapezoidal prism volume calculator?
You need the two parallel sides of the trapezoidal cross-section, its perpendicular height, and the length of the prism. All measurements must use consistent units.
What is the difference between trapezoid area and prism volume?
Trapezoid area measures a two-dimensional shape in square units. Prism volume measures a three-dimensional solid in cubic units.
Can I calculate the volume of a trapezoidal prism in cubic metres?
Yes. Enter all dimensions in metres. The calculated volume will be in cubic metres (m³).
Can a trapezoidal prism have a different length from its trapezoid height?
Yes. The trapezoid height is the perpendicular distance between its parallel bases. The prism length is the distance the cross-section extends through three-dimensional space.
How do I find the volume if the cross-sectional area is already known?
Multiply the cross-sectional area by the prism length. Ensure the length unit is compatible with the area unit so the final result is expressed in cubic units.