
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
In rectangle \(ABCD\), \(AB=2\) and \(BC=3\). Points \(E\) and \(F\) are the midpoints of \(AB\) and \(CD\) respectively. When \(\triangle FAB\) is rotated by \(90^\circ\) around axis \(EF\) to form \(\triangle FA'B'\), what is the volume of the tetrahedron \(A'B'C D\)?

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