
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 a frame of a cube using 8 pieces of wire, each 10 inches long. Meanwhile, Roark creates several frames of unit cubes, each frame made from 1-inch-long pieces of wire. The total volume of Roark's cubes equals the volume of Bonnie's cube. Determine 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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