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Total surface area of a cube 1536 sq.cm. What is the volume of this cube?
1. 256
2. 1024
3. 4096
4. 4596

1 Answer

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Correct Answer - Option 3 : 4096

Given:

Total surface area of cube is 1536 sq.cm

Formula Used:

Total surface area of cube = 6a2

Volume of a cube = a3

Where, a is the side of a cube 

Calculation:

Total surface area of cube = 6a2

⇒ 6a= 1536

⇒ a= 1536/6

⇒ a= 256

⇒ a = 16

Volume of a cube

⇒ a= 163

⇒ Volume of cube = 4096 cm3

∴ The volume of a cube is 4096 cm3

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