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Mathematics

If a solid cube of side 16 cm is cut into eight identical cubes. The side of each cube is:

  1. 2 cm

  2. 4 cm

  3. 6 cm

  4. 8 cm

Mensuration

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Answer

Given,

Side of the original cube = 16 cm

Let s be the side of each smaller cube.

As we know,

Volume of a cube = side3

Volume of the original cube = Volume of 8 identical cubes

⇒ (16)3 = 8 x s3

⇒ 4096 = 8 x s3

⇒ s3 = 40968\dfrac{4096}{8}

⇒ s3 = 512

⇒ s = 5123\sqrt[3]{512}

⇒ s = 8 cm.

Hence, option 4 is the correct option.

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