
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
Given that the base edge length of a rectangular prism is $3\text{ cm}$, and the diagonal length of a lateral face is $3\sqrt{5}\text{ cm}$, find the volume of this rectangular prism in $\text{cm}^3$.

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