
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. Concurrently, Roark uses 0.5-inch-long pieces of wire to create a collection of smaller cube frames. The total volume of Roark's smaller cubes combined equals the volume of Bonnie's larger cube. Compute 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