There are two pentagonal prisms that are similar. Prism A has a height of 8 meters and a volume of 800 m^3. Prism B has a height of 6 m, find the volume of prism B.
The scale factor of the smaller prism to the larger = 6/8 = 3/4
The volume of the smaller prism, B =
(Volume of larger prism) ( scale factor )^3 =
800 * (3/4)^3 =
800 * 9 / 16 =
50 * 9 =
450 m^3