General Prismatoid

A solid such that the area A_y of any section parallel to and a distance y from a fixed plane can be expressed as


The volume of such a solid is the same as for a prismatoid,


Examples include the cone, conical frustum, cylinder, prismatoid, pyramidal frustum, sphere, spherical segment, and spheroid.

See also

Prismatoid, Prismoid

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Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 132, 1987.Kern, W. F. and Bland, J. R. "The General Prismatoid." Ch. 8 in Solid Mensuration with Proofs, 2nd ed. New York: Wiley, pp. 120-130, 1948.

Referenced on Wolfram|Alpha

General Prismatoid

Cite this as:

Weisstein, Eric W. "General Prismatoid." From MathWorld--A Wolfram Web Resource.

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