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Trapezoidal Prism Volume from Cross Section and Depth

Trapezoidal Prism Volume from Cross Section and Depth. Convert compatible units, recover unknown dimensions and distinguish curved surfaces, bases and total measures.

  • Formula & worked example
  • Private in your browser
  • No signup
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

Example in initial displayed units: Parallel base 1 9, Parallel base 2 5, Cross-section perpendicular height 4, Prism extrusion depth 3 gives Volume 84.

V = (a+b)hL/2

Worked example

Enter these known values and leave the other values blank.

Parallel base 1
9 m
Parallel base 2
5 m
Cross-section perpendicular height
4 m
Prism extrusion depth
3 m
Volume
84 m³

Assumptions and limitations

  • The two parallel bases and perpendicular cross-section height define the trapezoid. Extrusion length is a separate perpendicular prism depth. The two bases are interchangeable in the formula. Initial displayed units are meters and cubic meters.
  • Select units before entering dimensions. Clear an unknown result before solving backward, and supply enough independent measurements. Display rounding does not represent measurement uncertainty.
  • Calculations use 64 significant digits and full-precision π. Original reference drawings explain dimensions and are not drawn to the entered scale.

Common questions

Is trapezoid height the same as prism depth?

No. Height lies in the trapezoidal cross section between its parallel bases. Prism depth extends that cross section into three dimensions.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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