
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
With a steel bar with a total length of 14.8 meters, a rectangular container frame is constructed. If the length of the base of the resulting container is 0.5 meters longer than the width, what is the height when the container has the maximum volume? Also, calculate the maximum volume.

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