
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
What is the minimum force required to press a cube with a volume of $10 \, \text{cm}^{3}$, floating in water, so that it is completely submerged? The density of the material of the cube is $400 \, \text{kg/m}^{3}$, and the density of water is $1000 \, \text{kg/m}^{3}$. Give the answer in SI units. Assume the acceleration due to gravity is $10 \, \text{m/s}^{2}$.

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