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Mathematics

The lateral surface area of a cube is 256 m2. The volume of the cube is

  1. 512 m3

  2. 64 m3

  3. 216 m3

  4. 256 m3

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Answer

By formula,

Lateral surface area of cube = 4(side)2

⇒ 4(side)2 = 256

⇒ (side)2 = 64

⇒ side = 64\sqrt{64} = 8 m.

Volume of cube = (side)3

= 83 = 512 m3.

Hence, Option 1 is the correct option.

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