Two square pyramids are similar. If the heights of the pyramids are 9 inches and 12 inches, and the volume of the smaller pyramid is 162 in³, what is the volume of the larger pyramid (in cubic inches)?
The scale factor of the larger pyramid to the smaller is 12/9 = 4/3
The volume of the larger will be equal to
Volume of the smaller pyramid * ( scale factor ) ^3
So we have
162 * (4/ 3)^3 =
162 * (64 / 27) =
384 in^3
+214 
