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
Correct Answer: 1296 cm 2
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 cm
3
.
$a = \sqrt[3]{V} = \sqrt[3]{5832} = 18 \, \text{cm}$
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 cm
2
.
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