
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
Linda owns a rectangular aquarium that measures 12 inches in length, 10 inches in width, and 8 inches in height. She fills the aquarium one-third full with water. Then, she adds eight ice cubes, each measuring 1 inch on each side, into the aquarium. Calculate the volume in cubic inches that remains unoccupied by either water or ice.

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