A) \[8\sqrt{12}\,c{{m}^{3}}\]
B) \[8\,c{{m}^{3}}\]
C) \[16\sqrt{2}\,c{{m}^{3}}\]
D) \[16\,c{{m}^{3}}\]
Correct Answer: B
Solution :
Let ?a? be the side of cube. Since length of diagonal \[\sqrt{12}\,cm\] \[\therefore \]\[\sqrt{{{a}^{2}}+{{a}^{2}}+{{a}^{2}}}=\sqrt{12}\] Squaring both sides, we get \[3{{a}^{2}}=12\Rightarrow {{a}^{2}}=4\Rightarrow a=2\] \[\therefore \]Volume of the cube\[=2\times 2\times 2=8\,c{{m}^{3}}.\]
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