
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
Three faces of a right rectangular prism have areas of 51, 52, and 53 square units. What is the volume of the prism, in cubic units? Express your answer to the nearest whole number.

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