
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 of a right truncated quadrangular pyramid, given that the side of the larger base is \(a\), the side of the smaller base is \(b\), and the acute angle of the lateral face is \(60^{\circ}\).

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