
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
The rectangular faces of rectangular prism  $A$  have perimeters  $12$ ,  $16$ , and  $24$ . The rectangular faces of rectangular prism  $B$  have perimeters  $12$ ,  $16$ , and  $20$ . Let  $V_A$  denote the volume of  $A$  and  $V_B$  denote the volume of  $B$ . Find  $V_A-V_B$ .

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