
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 container without a lid, which is 40cm long, 25cm wide, and 50cm high (thickness negligible), contains water with a depth of $a$ cm ($a>0$). Now, a cubic iron block with an edge length of 10cm (the bottom of the iron block rests on the bottom of the container) is placed into the container. Calculate the depth of the water after the iron block is placed into the container.

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