A) \[216\,\,\text{c}{{\text{m}}^{2}}\]
B) \[236\,\,\text{c}{{\text{m}}^{2}}\]
C) \[343\,\,\text{c}{{\text{m}}^{2}}\]
D) \[512\,\,\text{c}{{\text{m}}^{2}}\]
Correct Answer: A
Solution :
Volume of cuboid \[=9\times 8\times 6=432\,\,\text{c}{{\text{m}}^{3}}\] So, volume of cube \[=\frac{432}{2}=216\,\,\text{c}{{\text{m}}^{3}}\] So, side of cube \[=\sqrt[3]{216}=6\,\,\text{cm}\] Therefore, total surface area of cube \[=(6\times {{6}^{2}})\,\,\text{c}{{\text{m}}^{2}}=216\,\,\text{c}{{\text{m}}^{2}}\]
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