A) 27 : 64
B) 3 : 4
C) 9 : 16
D) 3 : 8
Correct Answer: C
Solution :
Let \[{{a}_{1}}\] and \[{{a}_{2}}\] be the sides of the cube, then \[{{\left( \frac{{{a}_{1}}}{{{a}_{2}}} \right)}^{3}}=\frac{27}{64}\] \[\Rightarrow \] \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{3}{4}\] \[\therefore \] Ratio of their surface area \[={{\left( \frac{{{a}_{1}}}{{{a}_{2}}} \right)}^{2}}={{\left( \frac{3}{4} \right)}^{2}}\] \[=\frac{9}{16}=9:16\]
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