
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A solid box is 24 cm by 16 cm by 12 cm. From this box, a small cube measuring 2 cm on each side is removed from each corner of the box. There are a total of 12 such corners available, but cubes are only removed from the 8 corners of one 24 x 16 face. What percentage of the original volume is removed?

Present the answer in LaTex format: \boxed{Your answer}
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