A) \[23\,\,\text{m}\]
B) \[68\,\,\text{m}\]
C) \[22\frac{2}{3}\,\,\text{m}\]
D) \[22\frac{1}{3}\,\,\text{m}\]
Correct Answer: C
Solution :
Length of the largest rod \[=\sqrt{{{l}^{2}}+{{b}^{2}}+{{h}^{2}}}\] \[=\sqrt{{{16}^{2}}+{{12}^{2}}+{{\left( \frac{32}{3} \right)}^{2}}}=\sqrt{400+\frac{1024}{9}}=\sqrt{\frac{4624}{9}}\]\[=22\frac{2}{3}\,\,\text{m}\]
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