Reckoning

Reckoning / Shape / Wedge

Solid · Prisms and pyramids

Wedge

A rectangular base a by b and a top ridge of length c parallel to a, at height h.

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Dimensions

Results

volume V

Formulas

With c = a it is a triangular prism, abh/2; with c = 0 it is a pyramid, abh/3. The formula runs between the two.

Checked: the V formula agrees with a Monte Carlo measurement of the shape itself, made from its geometric definition, every time the site is built.

Topology lens

Topologically a ball. Its surface has V = 6 vertices, E = 9 edges and F = 5 faces, and V − E + F = 2, as for every convex polyhedron (Euler, 1758). More on the lens.