Wedge Volume Calculator

Work out wedge volume instantly with clear inputs, formula shown and shareable results.

About Wedge Volume Calculator

A wedge has a rectangular base a × b tapering to a top edge of length c at height h. Prismatoid integration gives V = (bh/6)(2a + c).

Formula

Wedge volume

V = (b·h / 6)(2a + c)

Worked example

With the default values below, Wedge Volume Calculator returns Volume of 120.0000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Base length aminimum 0: 10
Base width bminimum 0: 6
Top edge length cminimum 0: 4
Heightminimum 0: 5

Results

Volume: 120.0000
Base area: 60.0000
Enclosing prism volume: 300.0000
Fraction of the enclosing prism: 0.4000

Step by step

1Values used
2Wedge volume
3Volume= 120.0000
4Base area= 60.0000
5Enclosing prism volume= 300.0000
6Fraction of the enclosing prism= 0.4000

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What if c = a?

The wedge becomes a triangular prism of volume abh/2, which the formula returns.

What if c = 0?

It becomes a pyramid-like wedge with volume abh/3.