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

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