Question : The total surface area of a cube is 1536 m2. Find its volume.
Option 1: 216 m3
Option 2: 125 m3
Option 3: 4096 m3
Option 4: 729 m3
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Correct Answer: 4096 m3
Solution : Given that the total surface area of a cube is 1536 m2. Let the side of the cube be s. Then, the total surface area of the cube = 6s2 So, 6s2 = 1536 ⇒ s2 = 256 ⇒ s = 16 cm Now, the volume of a cube = s3 = 163 = 4096 m3 Hence, the correct answer is 4096 m3.
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