A big cube is formed by rearranging the 160 coloured and 56 non-coloured similar cubes in such a way that the expouser of the coloured cubes to the outside is minimum. The percentage of exposed area that is coloured is:
A. 25.9%
B. 44.44%
C. 35%
D. 32%
E. None of These
Answer: Option B
Solution(By Examveda Team)
Total number of cubes = 160 + 56 = 216 Thus, side of cube = 6 unit No. of cubes without exposure = (6 - 2)3 = 64 Thus 64 cubes will be inside of a big cube Now, rest cubes = 160 - 64 = 96 No. of cubes with one face outside = 6 × (4 × 4) = 96 Required % = $$\frac{{90 \times 100}}{{216}} = 44.44\% $$Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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