
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]


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A steel bar with a total length of 14.8 meters is used to make the frame of a rectangular container. If one side of the bottom of the container is 0.5 meters longer than the other side, what is the height of the container when its volume is maximized? And what is the maximum volume?

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