
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 8-inch-long wire, while Carter uses 2-inch-long pieces of wire to construct a number of separate unit cube frames. The total volume of Carter's cubes is equivalent to the volume of Bonnie’s cube. What is the ratio of the total length of Bonnie's wire to the total length of Carter's wire? Express your answer as a common fraction.

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