
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
Susie owns a cube-shaped container that measures 12 inches on each side. She fills this container with water until it is one-third full. Then she introduces eight special ice cubes, each measuring 3 inches on each side, into the water. How many inches cubed of the container are unoccupied by ice or water?

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