
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
Given a rectangular container, the dimensions are formed by scaling the original dimensions $a$, $b$, and $c$ by factors of 2, 3, and 4 respectively (i.e., the new dimensions are $2a$, $3b$, and $4c$). If the product of the bottom area ($2a \times 3b$), one side area ($3b \times 4c$), and the front area ($4c \times 2a$) is calculated, what does this product equal in terms of the original volume $V = abc$?
A) $576V$  
B) $288V^2$  
C) $576V^2$  
D) $1152V$  
E) $1152V^2$

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