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Because only the surface contacts the fluid, so that's the only place where dissolution can proceed.
Yes.
put it in the fridge
Mass does not directly affect surface area. Surface area is a measure of the total area of an object's external surfaces, while mass is a measure of the amount of matter in an object. However, as the mass of an object increases, its volume typically increases as well, which can indirectly affect its surface area if the shape remains constant. Objects with larger masses may have larger surface areas if their volume increases proportionally.
It increases it.