
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 larger cube using 12 pieces of wire, each 8 inches long. Simultaneously, Roark uses pieces of wire, each 2 inches long, to construct several smaller non-interconnected cube frames. The total volume of Roark's collection of cubes is equal to the volume of Bonnie's cube. Calculate the ratio of the total length of Bonnie's wire to the total length of Roark's wire.

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