Correct Answer - Option 3 : 4096

**Given:**

Total surface area of cube is 1536 sq.cm

**Formula Used:**

Total surface area of cube = 6a^{2}

Volume of a cube = a^{3}

Where, a is the side of a cube

**Calculation:**

Total surface area of cube = 6a2

⇒ 6a2 = 1536

⇒ a2 = 1536/6

⇒ a2 = 256

⇒ a = 16

Volume of a cube

⇒ a^{3 }= 16^{3}

⇒ Volume of cube = 4096 cm^{3}

**∴ The volume of a cube is 4096 cm**^{3}