CK12 - Geometry

Areaof a RegularPyramidThe surfacearea of a regularpyramidis

where is the slantheightof the pyramidand is the perimeterof the regularpolygonthat formsthe

pyramid’s base,and is the area of the base.

Example 2

A tent withouta bottomhas the shapeof a hexagonalpyramidwith a slantheight

of

feet. The sidesof the hexagonalperimeterof the figureeachmeasure

feet. Find the surfacearea of the tent that existsaboveground.

For this problem, is zero becausethe tent has no bottom.So simplycalculatethe lateralarea of the
figure.

Example 3

A pentagonalpyramidhas a slantheight

of

cm. The sidesof the pentagonalperimeterof the figureeachmeasure

cm. The apothemof the figureis