Question

How deep into the ocean would you need to dive to feel pressure 3 times the pressure you would feel floating on the surface of the water. Use the pressure equation for fluids.

Answer 1

Please know that the pressure that we would feel floating on the surface of water will be atmospheric Pressure only that is equal to Pa

For pressure to be felt 3 times of atmospheric pressure, we need to dive in the ocean. Let's say if we dive by depth 'h', we will feel an additional pressure of under water.
where is density of water equal to 1000 , g is free-fall acceleration and h is depth.

So, according to question

Subtracting, on both sides and plugging the values, we get

h = 206 m

So, the depth has to be approximately 206 m to feel pressure under water to be 3 times of pressure on surface of water.