A) 5 : 6
B) 125 : 216
C) 1 : 2
D) 64 : 216
Correct Answer: B
Solution :
Let \[{{l}_{1}}\] and \[{{l}_{2}}\] be the length of sides of the cubes. According to question, \[\frac{6l_{1}^{2}}{6l_{2}^{2}}=\frac{25}{36}\Rightarrow \frac{{{l}_{1}}}{{{l}_{2}}}=\frac{5}{6}\] \[\therefore \] Ratio of volume of two cubes. \[={{\left( \frac{{{l}_{1}}}{{{l}_{2}}} \right)}^{3}}={{\left( \frac{5}{6} \right)}^{3}}=\frac{125}{216}i.e.,125:216\]
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