The slant height of an object (such as a frustum, or pyramid) is the distance measured along a lateral face from the base to the apex along the "center" of the face. In other words, it is the altitude of the triangle comprising a lateral face (Kern and Bland 1948, p.50).

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The slant height

of a right circular cone is the distance from the apex to a point on the base (Kern and Bland 1948, p.60), and is related to the height
and base radius



For a right pyramid with a regular

-gonal base of side length
, the slant height is given by



is the inradius of the base.


Kern, W.F. and Bland, J.R. Solid Mensuration with Proofs, 2nd ed. New York: Wiley, pp.50, 60, 67, and 72, 1948.


Weisstein, Eric W. "Slant Height." Web Resource. Web Resources

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