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A big cube is formed by arranging the 160 coloured and 56 noncoloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimum. The percentage of exposed area that is coloured is
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- 25.9%
- 44.44%
- 35%
- 46%
- 25.9%
Correct Option: B
Total number of cubes = 160 + 56 = 216
Edge of cube = ³√216 = 6 units
Number of cubes without exposure = (6 – 2)³ = 64
These cubes will be inside the big cube. Remaining cubes = 160 – 64 = 96
Again number of cubes with one face outside = 6 × (4 × 4) = 96
| ∴ Required percent = | × 100 | |
| 216 |
= 44.44%
