A) \[72\,\,c{{m}^{2}}\]
B) \[216\,\,c{{m}^{2}}\]
C) \[432\,\,c{{m}^{2}}\]
D) \[108\,\,c{{m}^{2}}\]
Correct Answer: B
Solution :
We have \[2\times \] Volume of cube = Volume of cuboid \[\Rightarrow \] \[2\times \](Edge) \[=9\times 8\times 6\]cu cm \[\Rightarrow \] \[{{(\text{Edge)}}^{3}}=9\times 8\times 3\] \[\Rightarrow \] Edge \[=\sqrt[3]{3\times 3\times 3\times 2\times 2\times 2}\] \[=3\times 2=6\,\,cm\] Total surface area of the cube \[=6\times {{(\text{Edge})}^{2}}=6\times 6\times 6=216\,\,c{{m}^{2}}\]
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