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Mathematics

The length of the diagonal of a cube is 163 m16\sqrt{3} \text{ m}. The volume of the cube is :

  1. 4096 m3

  2. 4196 m3

  3. 3146 m3

  4. 4036 m3

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Answer

Given,

Diagonal of cube (d) = 163m16\sqrt{3} m.

Let side of cube be a meters.

Diagonal (d) = a3a\sqrt{3}

⇒ 163=a316\sqrt{3} = a\sqrt{3}

⇒ a = 16 m.

Calculating the volume of cube,

Volume of cube = a3

= 163

= 4096 m3.

Hence, option 1 is the correct option.

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