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A cube of edge 5 cm is cut into cubes each of edge of 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to :
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- 1 : 125
- 1 : 5
- 1 : 625
- 1 : 25
- 1 : 125
Correct Option: D
Surface area of a small cube = 6 × (edge)²
= 6 × 1 = 6 cm²
Surface area of the large cube = 6(5)² = 6 × 25 cm².
| ∴ Required ratio = ; | = | or 1 : 25 | ||
| 6 × 25 | 25 |
