
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
Using a steel bar with a total length of 14.8 meters to make the frame of a rectangular container, if one side of the base of the container is 0.5 meters longer than the other side, what height will maximize the volume of the container? Also, find the maximum volume.

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