Question

If the volume of a cube is 343 cm³, then what is its total surface area?
1. 206 cm²
2. 294 cm²
3. 394 cm²
4. 284 cm²

Answer 1

Correct Answer - Option 2 : 294 cm²

Given:

Volume of cube = 343 cm³

Formula Used:

Volume of cube = (side)³

Total surface area of cube = 6 × (side)²

Calculation:

As, volume of cube = 343 cm³

So, side of cube = (343)^1/3 = (7³)^1/3 = 7 cm

Total surface area of cube = 6 × 7² = 6 × 49 = 294 cm²

∴ The total surface area of the given cube is 294 cm²