
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 12 pieces of wire, each 8 inches long. Meanwhile, Roark uses 2-inch long pieces of wire to make frames for a collection of unit cubes that are not connected to each other. 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}
user