
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 a truncated triangular pyramid, a plane is drawn through a side of the upper base parallel to the opposite lateral edge. In what ratio will the volume of the truncated pyramid be divided if the corresponding sides are in the ratio $1:2$?

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