Correct Answer - Option 4 : 2166 cm
2
Given:
The volume of the cube is 6859 cm3.
Concept:
Side of cube = (Volume)1/3
Surface area of cube = 6 × (Side)2
Calculation:
Side of the Cube = (6859)1/3
⇒ (19)3 × 1/3
⇒ 19 cm
Now,
Surface area of the cube = 6 × (19)2
⇒ 6 × 361
⇒ 2166 cm2
∴ The required surface area of the cube is 2166 cm2.