A) \[6\sqrt{3}\]
B) 6
C) 8
D) \[7\sqrt{3}\]
Correct Answer: A
Solution :
Let x cm be the side of a cube. Then by hypothesis, \[6{{x}^{2}}=216\] or \[{{x}^{2}}=36\] or \[x=6\,cm\] Hence, length of the largest pole = Length of the diagonal of the cube \[=\sqrt{{{x}^{2}}+{{x}^{2}}+{{x}^{2}}}\] \[=\sqrt{3{{x}^{2}}}=\sqrt{3x}=6\sqrt{3}\,cm\]
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