
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
Jimmy has a rectangular tank that measures 12 inches in length, 10 inches in width, and 8 inches in height. He fills the tank with water up to 40% of its capacity. He then places fifteen ice cubes, each measuring 1 inch on each side, into the tank. How much of the tank, in cubic inches, is unoccupied by either water or ice?

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