Question

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Q3. A cube of side 6 cm is painted on all its 6 faces with red colour. It is
then broken up into 216 smaller identical cubes. What is the ratio of P:Q:R.
Where, P = number of smaller cubes with no colored surface. Q = number
of smaller cubes with 1 red face. R=number of smaller cubes with 2 red
faces.​

Answer 1

Step-by-step explanation:

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.