Question

A cube of edge 6cm is painted on all sides and then cut into unit cubes. The number of unit cubes with no sides painted is?

Answer 1

Answer:

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Step-by-step explanation:

A good idea would be to determine how many unit cubes would be painted on one or more sides. 36 (Side 1) + 30 (Side 2) + 50 (Total of Sides 3 and 4) + 20 (Side 5) + 16 (Side 6) = 152 sides painted.

216 - 152 = 64.

Another alternative solution would be to consider that all the outside unit cubes would be painted leaving the insides unpainted. Since you’re using unit cubes, this would be [6 - 2 (1)]^3 = 4^3 = 64