Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c² plug in the data a²+24²=30² a²+576=900 subtract 576 from both sides a²=324 sq root a=18 So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height) V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism plug in the data that we know 720=1/2*18*24*H 720=216*H divide both sides by 216 3 1/3=H
