
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 cake prism measuring 3 inches in length, 2 inches in width, and 2 inches in height is iced on the top and the four vertical sides. It is cut from the top view along two diagonal lines, each extending from one vertex on the shorter side to the opposite vertex on the longer side, creating a triangular piece at one of the corners. Calculate the volume of the cake and the surface area of the icing for this triangular piece.
A) 11
B) 13
C) 15
D) 17

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