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Mathematics

If the total surface area of a cube is 96 cm2, then the volume of cube is

  1. 8 cm3

  2. 512 cm3

  3. 64 cm3

  4. 27 cm3

Mensuration

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Answer

Let side of cube = x cm.

Given,

Surface area of cube = 96 cm2

By formula,

Surface area of a cube = 6x2

∴ 6x2 = 96

⇒ x2 = 16

⇒ x = 16\sqrt{16} = 4 cm.

Volume of cube = (side)3

= (x)3

= 43 = 64 cm3.

Hence, Option 3 is the correct option.

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