
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 new shape is formed by joining nine unit cubes where one cube is at the center, all faces of the center are shared with its surrounding cubes, and each corner of the center has a cube extending outward along one axis. What is the ratio of the volume in cubic units to the surface area in square units?
A) 3 : 4  
B) 7 : 20  
C) 3 : 8  
D) 2 : 3  
E) 9 : 24

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