The ratio of the volumes of two cubes is 64 : 1331. What is the ratio of their total surface areas?

Correct option is A

Given:
Volume ratio = 64 : 1331

Formula Used: 

Volume of cube = $$\text{side}^3$$ 

Surface area ratio =$$(\text{side ratio})^2$$​ , where side ratio =$$\sqrt[3]{\text{volume ratio}}$$​ ​ 

Solution:
Side ratio of two cubes =$$\sqrt[3]{\frac{64}{1331}} = \frac{4}{11}$$​​

Surface area ratio of two cubes = $$\left(\frac{4}{11}\right)^2 = \frac{16}{121}$$​​