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).

You are watching: What is the difference between the height and the slant height of a pyramid?

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
*
by


*

*

For a right pyramid with a regular

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


*

where

*
is the inradius of the base.


REFERENCES:

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


CITE THIS AS:

Weisstein, Eric W. "Slant Height." Fromubraintv-jp.com--A ubraintv-jp.com Web Resource. https://ubraintv-jp.com/SlantHeight.html


ubraintv-jp.com Web Resources
Mathematica»

The #1 tool for creating Demonstrations and anything technical.

ubraintv-jp.com|Alpha»

Explore anything with the first computational knowledge engine.

ubraintv-jp.com Demonstrations Project»

Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more.

Computerbasedmath.org»

Join the initiative for modernizing math education.

Online Integral Calculator»

Solve integrals with ubraintv-jp.com|Alpha.

Step-by-step Solutions»

Walk through homework problems step-by-step from beginning to end. Hints help you try the next step on your own.

ubraintv-jp.com Problem Generator»

Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.

ubraintv-jp.com Education Portal»

Collection of teaching and learning tools built by ubraintv-jp.com education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more.

See more: Jokers To The Left Of Me Clowns To The Right, Clowns To The Left Of Me, Jokers To The Right

ubraintv-jp.com Language»

Knowledge-based programming for everyone.


*
Contact the ubraintv-jp.com Team
© 1999-2021 ubraintv-jp.com Research, Inc. | Terms of Use