A) \[1408\text{ }{{m}^{2}}\]
B) \[2008\text{ }{{m}^{2}}\]
C) \[1016\text{ }{{m}^{2}}\]
D) \[1008\text{ }{{m}^{2}}\]
E) None of these
Correct Answer: D
Solution :
Explanation Option [d] is correct. Let us consider the multiplier x. Hence, \[4x\times 3x\times 2x=5184\]\[\Rightarrow 24{{x}^{2}}=5184\] \[\Rightarrow {{x}^{3}}=\frac{5184}{24}\Rightarrow {{x}^{3}}=216\] \[\Rightarrow x=\sqrt[3]{216}=6.\] Length of the cuboid = 24 m/ width = 18 m and height = 12 m. Thus, the lateral surface area of the cuboid \[=2h\left( l+b \right)=2\times 12\left( 24+18 \right)=1008{{m}^{2}}.\]You need to login to perform this action.
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