
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
Bonnie constructs the frame of a cube using 12 pieces of wire each measuring 8 inches long. Meanwhile, Roark uses 2-inch-long pieces of wire to make a collection of unit cube frames that are not connected to each other. The total volume of Roark's cubes remains equal to the volume of Bonnie's cube. What is the ratio of the total length of Bonnie's wire to the total length of Roark's wire? Express your answer as a common fraction.

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