The area of the base of a right equilateral triangular prism is `16sqrt(3) cm^(2)`. If the height of the prism is 12 cm, then the lateral surface area and the total surface area of the prism respectively are
A. `288 cm^(2),(288 +32sqrt(3)) cm^(2)`
B. `388 cm^(2),(388 +32sqrt(3)) cm^(2)`
C. `288 cm^(2),(288 +24sqrt(3)) cm^(2)`
D. `388 cm^(2),(388 +24sqrt(3)) cm^(2)`
