
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
Determine the volume in cubic inches of a right, rectangular prism if the areas of the side, front, and bottom faces are 20 square inches, 12 square inches, and 15 square inches, respectively, and one of the side lengths is exactly 5 inches.

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