
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
Cut a square of side $x$ inches from each corner of a 12 in. by 16 in. rectangular sheet of metal, and then fold up the flaps to form an open box with height less than or equal to $6$ inches, and express the volume of the box.

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