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Volume of cube is l^3. Surface area is 6l^2. For two cubes of edge length x, y the volumes are in ratio x^3:y^3 and surface areas in the ratio x^2:y^2. Here the ratio of volumes is 10:27 i.e. (³√10)^3:(³√27)^3. Then the ratio of surface areas is (³√10)²:(³√27)². Then you the answer to be ³√100:9

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Let the sides of the cubes be x and y.
ratio of volume = 10:27

 \frac{ x^{3} }{ y^{3} } =  \frac{10}{27}

 \frac{x^{3}}{y^{3}} =  \frac{10^{1/3}}{27^{1/3}}  = \frac{10^{1/3}}{3}


Ratio of surface areas =  \frac{6x^{2}}{6y^{2}} = \frac{ x^{2} }{y^{2}} = \frac{ (10^{1/3})^{2} }{3^{2}} = \frac{ 10^{2/3} }{9}

u know i got the same answer but i thought it is wrong
sometimes you get odd kind of answers and it is ok in maths...