Calculating Force: Swimming Pool Problem

[ernay]

Homework Statement

A swimming pool has dimensions 30.0 m and 10.0 m and a flat bottom. When the pool is filled to a depth of 2.00 m with fresh water, what is the force caused by the water on the bottom? On each end? On each side?

Homework Equations

B = pgV
P₁+pgh+1/2pv²

The Attempt at a Solution

For the force on the bottom I thought it'd make sense to use buoyancy, so basically (10³)*9.8**30*10*2), which is 5,880,000N... As for the sides and ends, I haven't got a clue on how to do it, I thought it might've involved Bernoulli's equation but I'm not really sure..

 

[ernay]

I've been looking around online and I've seen similar problems where they use average pressure... which is (p*g*h)/2 p is density btw... is this the right approach, then just use P=F*A?