A) \[\text{72}\,\,\text{c}{{\text{m}}^{\text{2}}}\]
B) \[216\,\,\text{c}{{\text{m}}^{\text{2}}}\]
C) \[432\,\,\text{c}{{\text{m}}^{\text{2}}}\]
D) \[108\,\,\text{c}{{\text{m}}^{\text{2}}}\]
Correct Answer: B
Solution :
Since, the dimensions of the cuboid are 9 cm, 8 cm and 6 cm \[\therefore \] Volume of cuboid \[=9\times 8\times 6=432\,\text{c}{{\text{m}}^{\text{3}}}\] Now volume of cube \[=\frac{1}{2}\times 432=216\] \[\therefore \] Side of a cube \[=\sqrt[3]{{{6}^{3}}}=6\,\text{cm}\] \[\therefore \] Total surface area of a cube \[=6{{a}^{2}}=6\times {{6}^{2}}=216\,\text{c}{{\text{m}}^{\text{2}}}\]
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