
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 2x2x2 cube has shallow cuts creating right rectangular prisms in each corner, and leaving the central portion higher. The cuts result in each face of the large cube featuring a square instead of an octagon. The depth of each cut is half the cube's side. Each face square then has a side of 1 unit. Calculate the total volume of the material removed.
A) 1.5 cubic units
B) 2 cubic units
C) 2.5 cubic units
D) 1 cubic unit

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