how many cubes have no coloured face at all 6,1,0,8
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As there are 6 such faces, the number of such smaller cubes will be 16*6 = 96. Lastly, the number of cubes having no faces painted can be found by subtracting the sum of the painted cubes from the total number of smaller cubes. Therefore, the required answer is 216 – (8 + 48 + 96) = 64 cubes.
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