Radioactive wastes is to be disposed of in full enclosed lead boxes of inner volume $200 cm^3$. The base of the box has dimension in the ratio 2:1 . What is the inner length of the box. Find the minimum inner surface area of the box.

Question

$(A)\; \frac{900}{3\sqrt{75}}cm^2$
$(B)\; \frac{900}{\sqrt{75}}cm^2$
$(C)\; \frac{900}{3\sqrt{75}}cm^3$
$(B)\; \frac{900}{\sqrt{75}}cm^3$