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Mathematics

The lateral surface area of a cube is 100 cm2; then its volume is :

  1. 25 cm3

  2. 125 cm3

  3. 625 cm3

  4. none of these

Surface Area, Volume, Capacity

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Answer

Given:

Lateral surface area of cube is 100 cm2.

Let s be the side of cube.

As we know lateral surface area of cube = 4 x (side)2

⇒ 4 x s2 = 100 cm2

⇒ s2 = 1004\dfrac{100}{4} cm2

⇒ s2 = 25 cm2

⇒ s = 25\sqrt{25} cm

⇒ s = 5 cm

Volume of the cube = (side)3

= 53 cm3

= 125 cm3

Hence, option 2 is the correct option.

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