Two similar three dimensional prisms have perimeters of 48 m and 36 m. If the volume of the

larger prism is 576 cubic meters, what is the volume of the smaller prism? What is the ratio of

their lateral areas?

The scale factor of the smaller prism to the larger = 36/48 = 3/4

Volume of smaller prism = Volume of larger prism * (scale factor)^3 = 576 * (3/4)^4 = 243

The ratio of their lateral areas = (scale factor)^2 = (3/4)^2 = 9 / 16