## Geometry: Common Core (15th Edition)

$\approx$ 280.6 $cm^{3}$
Find the area of the base of the prism. Each base of the triangular prism is an equilateral triangle. An altitude of the triangle divides it into two 30-60-90 triangles. The height of the triangle is $\sqrt 3$ x the shorter leg, which is 3$\sqrt 3$. B=$\frac{1}{2}$bh B=$\frac{1}{2}$(6)(3$\sqrt 3$) B=9$\sqrt 3$ V=Bh V=9$\sqrt 3$(18) V=162$\sqrt 3$ V=280.5922308