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The ratio of the volumes of two cubes is `729:1331`. What is the ratio of their total surface areas?

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The ratio of the volumes of two cubes is `729:1331`. What is the ratio of their total surface areas?
A. `9:1`
B. `81:121`
C. `18:11`
D. `9:22`
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Correct Answer - A
Ratio of the side `=a:a_(1)=root3(729):root3(1331)`
`=9:11`
Ratio of surface area `=6a^(2):6a_(1)^(2)`
`=9^(2):11^(2)=81:121`
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