Volume of a wedge calculator
Enter the dimensions of a wedge and read off its volume and surface area. Volumes convert to litres and gallons with the unit selector.
Volume
16m³
- Surface area
- 36.708 204
Show the working
- Base length = 6
- Base width = 3
- Height = 2
- Top edge length = 4
- Volume = 3 * 2 / 6 * (2*6 + 4) = 16
- Surface area = 6*3 + 3*hypot(2, (6-4)/2) + 4*3 = 36.7082
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- volume = (b h / 6)(2a + c), the prismatoid formula for a wedge
This is the classic earthworks wedge: a rectangular base tapering to a ridge line.
Switch the volume unit to litres or US gallons to read the capacity directly.