Right rectangular prism A is similar to right rectangular prism B. The surface area of right rectangular prism A is 75 square centimeters ($c{m}^2$), and the surface area of right rectangular prism B is 1,200 $c{m}^2$. The volume of right rectangular prism B is 640 cubic centimeters ($c{m}^3$). What is the sum of the volumes, in $c{m}^3$, of right rectangular prism A and right rectangular prism B?