
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
Emma has a cube-shaped tank measuring 12 inches on each side. She fills this tank to one-third of its capacity with water. Then, she places fifteen ice cubes, each measuring 1.5 inches on each side, into the tank. How much of the tank is unoccupied by water or ice in cubic inches?

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