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
⇒ 6a2 = 1536
⇒ a2 = 1536/6
⇒ a2 = 256
⇒ a = 16
Volume of a cube
⇒ a3 = 163
⇒ Volume of cube = 4096 cm3
∴ The volume of a cube is 4096 cm3