
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
A regular square pyramid with a side length equal to the base width of the cuboid is inscribed in a cuboid. The height of the cuboid is twice the height of the pyramid. What is the ratio of the volume of the inscribed pyramid to the volume of the cuboid? Express your answer as a fraction.

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