A) \[10\text{ }c{{m}^{3}},\text{ }4\text{ }cm\]
B) \[3\text{ }c{{m}^{3}},\text{ }3\text{ }cm\]
C) \[11\text{ }c{{m}^{3}},\text{ }3\text{ }cm\]
D) \[4\text{ }c{{m}^{3}},\text{ }3\text{ }cm\]
Correct Answer: B
Solution :
Volume of cubical piece of metal \[=2\times 3\times 4=24c{{m}^{3}}\] To make it a perfect cube, we add \[3\text{ }c{{m}^{3}}\] more metal into it. Volume of new cube \[=(24+3)c{{m}^{3}}=27c{{m}^{3}}\] \[{{\text{(Side)}}^{3}}=27\Rightarrow \text{Side=}\sqrt[3]{27}=3cm\]
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