Question

Volume of a cube is 2744 cm³. Find total surface area of cube.
1. 1167 cm²
2. 1176 cm²
3. 1276 cm²
4. 1762 cm²

Answer 1

Correct Answer - Option 2 : 1176 cm²

Given:

The volume of a cube = 2744 cm3

Formula Used:

The volume of a cube = (Side)3

Total surface area of a cube = 6 × (Side)2

Calculation:

The volume of a cube = (Side)3

⇒ 2744 = (Side)3

⇒ Side = \(\sqrt[3]{2744}\)

⇒ Side = 14 cm

The total surface area of a cube = 6 × (Side)2

⇒ The total surface area of a cube = 6 × (14)2

⇒ The total surface area of a cube =  1176 cm2

∴ Total surface area of a cube is 1176 cm2

The correct option is 2 i.e. 1176 cm2