
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
A rectangular block, with dimensions 4 cm, 5 cm, and 6 cm, is made up of cubes each with side length 1 cm. If 1 cm³ cubes are removed from this larger rectangular block, determine the minimum number of these cubes that must be removed so that the resulting solid is itself a cube.

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