
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 strip with a total length of $14.8 \mathrm{~m}$ to create the frame of a rectangular container, if one side of the base of the container is $0.5 \mathrm{~m}$ longer than the other side, what height will achieve the maximum volume of the container? Also, find this maximum volume.

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