
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 tank in the shape of a rectangular parallelepiped has the property that if placed on any of its side walls, the area of the resulting base does not decrease compared to the given base. What is the maximum possible volume of this tank if its height is 1.5 meters?

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