
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
Calculate the force with which water presses against a dam, the cross-section of which has the shape of an isosceles trapezoid. The density of water is $\rho=1000 \mathrm{kg}/\mathrm{m}^{3}$, and the acceleration due to gravity $g$ is $10 \mathrm{m}/\mathrm{s}^{2}$.

Hint: The pressure at a depth $x$ equals $\rho g x$.

Dimensions: $a = 6.0 \mathrm{m}$, $b = 9.6 \mathrm{m}$, $h = 4.0 \mathrm{m}$.

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