
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 measures 20 cm by 15 cm by 10 cm. A new solid is formed by removing a cube 4 cm on a side from each of four corners on one face and each of two corners on the opposite face. What percentage of the original volume is removed?

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