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