
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 rectangular storage bin measures  $10$  feet by  $12$  feet, is  $3$  feet tall, and sits on a flat plane.  A pile of dirt is pushed up against the outside of the storage bin so that it slants down from the top of the storage bin to points on the ground  $4$  feet away from the base of the storage bin as shown.  The number of cubic feet of dirt needed to form the pile can be written as   $m + n \pi$  where   $m$  and  $n$  are positive integers.  Find  $m + n.$ 

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