# Paint It And Disassemble It

Geometry Level 1

The above is a wooden cube block of size $$7\times 7\times 7$$, whose outer faces are painted in blue.

Now, the whole block is cut into smaller cubes $$1\times1\times1$$.

How many $$1\times 1\times1$$ cubes have precisely 1 of its faces painted blue?

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