If the surface area of a cube is 5046 cm2, then the volume of the cube is: 

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 4)
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  1. 26189 cm
  2. 25145 cm
  3. 22812 cm
  4. 24389 cm

Answer (Detailed Solution Below)

Option 4 : 24389 cm
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Detailed Solution

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Given : 

Surface area of cube = 5046 cm2

Formula Used : 

Volume of cube = a3

Surface area of cube = 6a2

Calculation : 

⇒ 6a2 = 5046

⇒ a2 = 841

⇒ a = √841

⇒ a = 29

Volume of cube = a3

⇒ 29 × 29 × 29

⇒ 24,389

∴ The correct answer is 24389.

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