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 m 3
Solution : Given that the total surface area of a cube is 1536 m 2 . Let the side of the cube be s. Then, the total surface area of the cube = 6s 2 So, 6s 2 = 1536 ⇒ s 2 = 256 ⇒ s = 16 cm Now, the volume of a cube = s 3 = 16 3 = 4096 m 3 Hence, the correct answer is 4096 m 3 .
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