Two cubes have their volumes in the ratio 1 : 27. What is the ratio of their surface areas?
The rate of the value of cubes = 1:27
`(a_1^3)/(a_2^2) = 1/27`
`a_1 /a_2 = 1/3` …… (i)
The ratio of their surface area
`s_1 : s_2 = 6a_1^2 :6a_2^2`
`s_1 /s_2 = 1/9`
Hence, `s_1 : s_2 = 1 : 9`