This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975. Area scale factor=(linear scale factor)^2 thus; Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384 linear scale factor=√(1057/384)=5.7019 the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid] The volume scale factor=(5.7019)^3=185.3772 therefore; volume of smaller solid=[volume of larger solid]/[volume scale factor]
