
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 cube with an edge length of 4 inches is iced on the top and the sides. It is cut vertically into two pieces such that the cuts are from one corner of the top face through the center of the opposite edge and from the center of the cube to a point halfway along an adjacent edge of the top face. The piece whose top is a quadrilateral contains \( c \) cubic inches of cake and \( s \) square inches of icing. Calculate \( c + s \).
A) 22
B) 24
C) 26
D) 28
E) 30

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