A metal plate has the shape of an equilateral triangle with a side length of 2 meters. It is submerged vertically in water so that the base of the triangle is 5 meters below the surface of the water. How much hydrostatic force is exerted against the plate due to the hydrostatic pressure of the water?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.121P: One side of the container has a 03-m square door that is hinged at its top edge. If the container is...
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11. A metal plate has the shape of an equilateral triangle with a side length of 2 meters. It is submerged vertically
in water so that the base of the triangle is 5 meters below the surface of the water. How much hydrostatic
force is exerted against the plate due to the hydrostatic pressure of the water?

this is the answer but I'm sure how to solve for it F = ρg(5sqrt(3) − 1) N

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