A) \[2:1\]
B) \[3:2\]
C) \[25:18\]
D) \[27:20\]
E) None of these
Correct Answer: C
Solution :
Explanation Option [c] is correct. Volume of the large cube \[=({{3}^{3}}+{{4}^{3}}+{{5}^{3}})=216\,c{{m}^{3}}\] Let the edge of the large cube be a So, \[{{a}^{3}}~=216\Rightarrow ~a=6\text{ }cm\] \[\therefore \] Required ratio = \[\left( \frac{6\times \left( {{3}^{2}}+{{4}^{2}}+{{5}^{2}} \right)}{6\times {{6}^{2}}} \right)=\frac{50}{36}=25:18\]
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