The area of the hexagonalbaseis givenby the formulafor the area of a regularpolygon.Sinceeachsideof the hexagonmeasures cm, the perimeteris or cm. The apothem,or perpendiculardistance
to the centerof the hexagonis cm.
Usingthe PythagoreanTheoremto find the slantheightof eachlateraltriangle.Now find the area of eachtriangle:Together, the area of all six trianglesthat makeup the lateralsidesof the pyramidareAdd the area of the lateralsidesto the area of the hexagonalbase.