Every bit of ice wants to be by the surface because ice weighs less than water but weighs more than air. With big enough chunks of ice, not all of the ice can be on the surface due to the shape of an ice chunk. Some of the ice will be below the surface, and some above.
The ice under the surface will push the ice chunk upwards, and the ice above the surface will push the oce chunk downwards.
But the difference in weight (density) between ice and air is much bigger than the difference in weight between ice and water. Therefore we need a lot more ice below the water pushing the ice upwards to be able to match the ice above surface pushing it downwards.
When you put something that floats into water, it will displace an amount of fluid equal to its weight.
Let’s say that you have a 5 tonne iceberg. It will have a volume of 5.454m^(3). However, it can only displace 5 tonnes of water. 5 tonnes of water will displace 5m^(3). that means there is 0.454m^3 of iceberg that doesn’t displace any water, so you get that much floating above the surface of the water.
Archimedes principle states that an object experiences an upward force equivalent to the weight of the water it displaces. So an object that is less dense than water, like an iceberg, will float, because it can displace a a large volume of water relative to its weight. But it still needs to displace that water to float. That’s why most of the iceberg is still submerged. The iceberg will naturally reach equilibrium when it displaces an amount of water equal to its weight.
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