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


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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