
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 8 inches long. Roark creates several separate unit cube frames using 1-inch-long pieces of wire. The total volume of Roark's cubes matches the volume of Bonnie's cube. Determine the ratio of the total length of Bonnie's wire to Roark's wire. Express your answer as a common fraction.

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