
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
An open-top rectangular container with dimensions 40 cm in length, 25 cm in width, and 60 cm in height (thickness is negligible) is filled with water to a depth of $a$ cm, where $0 < a \leq 60$. If a cube of iron with a side length of 10 cm is placed at the bottom of the container, what will be the new water depth?

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