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The total surface area of a cube is 2904 cm2. What is the volume of this cube?

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Previous Year Paper 11 (7 Oct 2017 Shift 1)
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  1. 11748 cm3
  2. 10848 cm3
  3. 10748 cm3
  4. 10648 cm3

Answer (Detailed Solution Below)

Option 4 : 10648 cm3
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Detailed Solution

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Let the side of the cube is a.
qImage32212

The total surface area of the cube = 6a2

⇒ 6a2 = 2904

⇒ a2 = 2904/6 = 484

⇒ a = 22 cm

volume of this cube = a3 = 223 = 10648 cm3
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