Question : If the volume of a cube is 5832 cm3, then what is the lateral surface area of this cube?
Option 1: 1024 cm2
Option 2: 384 cm2
Option 3: 576 cm2
Option 4: 1296 cm2
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Correct Answer: 1296 cm2
Solution : The volume of a cube is given by the formula \(V = a^3\), where \(a\) is the edge length of the cube. Given that the volume of the cube is 5832 cm3. $a = \sqrt[3]{V} = \sqrt[3]{5832} = 18 \, \text{cm}$ The lateral surface area of a cube is: $A = 4a^2 = 4 \times 18^2 = 1296 \, \text{cm}^2$ Hence, the correct answer is 1296 cm2.
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Option 1: 128 cm3
Option 2: 48 cm3
Option 3: 64 cm3
Option 4: 32 cm3
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Option 1: 15000 cm2
Option 2: 10000 cm2
Option 3: 12000 cm2
Option 4: 6000 cm2
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Option 2: 4272 cm2
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Option 4: 4836 cm2
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Option 2: 8 cm
Option 3: 6 cm
Option 4: 12 cm
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Option 1: 2940 cm3
Option 2: 3440 cm3
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