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Wedge Volume Calculator

Enter the base length, width, top edge and height to find the wedge volume.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

A wedge is a solid with a rectangular base of length a and width b, tapering up to a single top edge of length c running parallel to one side, at height h — think of a doorstop or a section of roof ridge. Its volume is given by V = (b·h/6)(2a + c), a formula that reduces correctly to a pyramid's volume when c = 0 and to a triangular prism's volume when c = a.

This shape and formula show up in solid geometry coursework as a step beyond prisms and pyramids, and in practical form wherever a tapered wedge shape needs its volume calculated — earthworks and excavation estimating (a sloped cut or fill section), concrete wedge-shaped footings, roof ridge sections, and machine-shop parts milled to this profile all rely on the same formula.

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