Two cubes have their volumes in the ratio 1 : 125. Find the ratio of their surface areas.

Correct option is B

Given:
Ratio of volume of two cubes = 1:125
Formula Used:
Volume of cube = $$a^3$$​​
Total surface area of cube =  $$6a^2$$​​
where a is side of cube
Solution:
Ratio = ((Volume of one cube)/(Volume of second cube)) = $$\frac{(a_1^3)}{(a_2^3 )} = \frac{1}{125}$$​​
Taking cube root both sides
​$$\sqrt{\frac{ (a_1^3)}{(a_2^3 )}}=\sqrt\frac{1}{125}) \\\ \\\ \frac{a_1}{a_2} =\frac{1}{5}$$​​
Ratio of their surface areas =  $$\frac{(a_1^2)}{(a_2^2 )} = (\frac{1}{5})^2 = \frac{1}{25}$$​​