A) \[864\text{ }c{{m}^{2}}\]
B) \[646\,\sqrt{3}\,c{{m}^{2}}\]
C) \[462\text{ }c{{m}^{2}}\]
D) \[464\sqrt{3}\,c{{m}^{2}}\]
Correct Answer: A
Solution :
| [a] Let, the length of cube is a cm. Then, Diagonal of cube = Diameter of sphere \[\Rightarrow \] \[a\sqrt{3}=2\times 6\times \sqrt{3}\] \[\therefore \] \[a=12\,cm\] Then, surface area of cube\[=6{{a}^{2}}=6\times {{(12)}^{2}}\] \[=6\times 144=864\,c{{m}^{2}}\] |
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