
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 container is shaped like a square-based pyramid where the base has side length  $23$  centimeters and the height is  $120$  centimeters. The container is open at the base of the pyramid and stands in an open field with its vertex pointing down. One afternoon  $5$  centimeters of rain falls in the open field partially filling the previously empty container. Find the depth in centimeters of the rainwater in the bottom of the container after the rain.

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