CK12 - Geometry

Now use the formulafor the volumeof the prism, , where is the area of the base(i.e., the

area of the triangle)and is the heightof the prism.Recallthat the "height"of the prismis the distance
betweenthe bases,so in this casethe heightof the prismis 15 cm. You can imaginethat the prismis lying
on its side.

Thus,the volumeof the prismis

Example 13

Find the volumeof the prismwith a regularhexagonfor a baseand 9-inchsides.

You don’tknowthe apothemof the figure’s base.However, you do knowthat a regularhexagonis divided
into six congruentequilateraltriangles.

You can use the PythagoreanTheoremto find the apothem.The right trianglemeasures by by ,
the apothem.