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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