
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 shipping box has interior dimensions 8-inches by 5-inches by 14-inches. Inside this shipping box, as many solid 4-inch cubes as possible are packed, with all of the cubes entirely inside the box. How much of the box's volume, in percentage terms, is occupied by these cubes?

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