
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 cubical cake with an edge length of 4 inches is iced only on the top and the right lateral face. The cake is cut into three pieces by two vertical slices starting from the center point of the top face to the centers of opposite edges on the bottom face. One-piece, readable in the top view as triangle $B$, requires a calculation of both the total cake volume, $c$, and icing area, $s$ in this piece. Compute $c+s$.
A) 32
B) 40
C) 48
D) 56
E) 64

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