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The Pressure (in the air) at the top surface of the ocean, at "Sea Level", is approx. 14.7 pounds of force on every square inch of area (called "psi"). This 14.7psi is also called 1 standard atmosphere (what our bodies are normally used to experiencing). We do not normally "feel" this pressure since the inside of our body is also experiencing this same 14.7 psi. Now as you go deeper and deeper under water the additional pressure is equal to the weight of the water above you. For every 407 inches of water (34 feet) you move down in the water the pressure goes up an additional 14.7 psi or 1 additional atmosphere. Now 1 mile = 5280 Feet = 63,360 Inches and 1 cubic inch of water (1 inch wide X 1 inch long X 1 inch deep) weighs 0.036 pounds (symbol is "lbs") so a 1 inch wide X 1 inch long X 1 mile deep "slice of water weighs 2,280 pounds (lbs) or over a ton.

SHORT ANSWER the pressure 1 mile down is over 2,280 pounds of force on every square inch of area (2,280 psi) or 155 atmospheres(155 times normal sea level pressure). This is like having a small car (1 ton) pressing down on every 1 inch wide by 1 inch long bit of surface(in the case of the BP spill, this is why the robots are used in place of humans, because the pressure is way to high for the human body).

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