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## Homework Statement

Can you please help me I think I have confused something.We did this in class.

A triangular plate with base = 10 m and height 12 m is placed under water with the base at the top at a depth of 8 meters under water and the apex 20 meters under water. Find the hydrostatic force on one side of the plate.

## Homework Equations

OK So I know Pressure = density x gravity x height. So in this case 9800 x 12 = 117600

The area is (10 x 12) / 2 = 60

This is were I'm confused F = P x A = 705600 N Which is what you get if you do the 60 times 117600

But I'm so confused where does centroid come into this problem? I thought it was supposed to be the pressure acting on the centroid So in the first equation part where I had Pressure times gravity time height I think it should be pressure x gravity x (1/3 the height of the triangle) Because all the pressure acts at that one point.