two similar solids have surface areas 48cm^2 and 108cm^2 respectively. find the volume of the smaller solid if the bigger one has a volume of 162cm^3.

Answer 1

the volumes scale as the 3/2 power of the areas
162 * (48/108)^(3/2) = 162 * (4/9)^(3/2) = 162 * 8/27 = 48 cm^3

Answer 2

Answer