A) \[120\,c{{m}^{2}}\]
B) \[64\,c{{m}^{2}}\]
C) \[48\,c{{m}^{2}}\]
D) \[24\,c{{m}^{2}}\]
Correct Answer: C
Solution :
Let the sides of cuboid are x cm, \[2x\,cm\]and \[3x\,cm\] respectively \[\therefore \] \[2({{x}^{2}}+6{{x}^{2}}+3{{x}^{2}})=88\] \[\Rightarrow \] \[22{{x}^{2}}=88\] \[\Rightarrow \] \[{{x}^{2}}=4\] \[\Rightarrow \] \[x=2\] \[\therefore \] Length of cuboid \[=2\,cm\] breadth of cuboid \[=2\times 2=4\,cm\] and height of cuboid \[=3\times 2=6\,cm\] \[\therefore \] Volume of cuboid \[=lbh\] \[=2\times 4\times 6\] \[=48\,c{{m}^{3}}\]
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