
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
What is the volume in cubic units of a right, rectangular prism if the side, front, and bottom faces have areas 18 square units, 20 square units, and 12 square units, respectively, and if the sum of the lengths of its three dimensions is 11 units?

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