I'm glad there's some people in here with a basic grasp of physics.
Ignoring slugs and pounds which are relevant mostly only to the US these days (even the people who invented the imperial system - the British - have mostly abandoned it)
Mass is the measurement of the amount of stuff in an object
Weight is the measurement of the force that the stuff exerts on other stuff because of gravity.
The SI unit of mass is the kilogram. The SI unit of force is the Newton. On planet earth, we use the kilogram as a measurement of mass and weight interchangeably - ie 1 kg of mass weighs 1kg on planet earth. On the moon, 1kg of mass would weigh 1/6th of a kilogram, but its mass is still 1kg. Local gravitational variations are so minute that any deviation is basically meaningless.
If I take a tank which weighs ten kilos, half-fill it with 20 litres of fresh water (which weighs 20 kilos), and add a 5 kilo block of something then as long as no water is spilled, the whole system now weighs 35 kilos. It has 35 kilos of mass on planet earth.
The object in the water tank will appear to weigh less if measured, because of the opposing buoyant force of the water. Take a non-electric scale and sit on it next time you have a bath - you will weigh less, depending on how fat you are. If you weigh 75kgs under normal circumstances, you will still have 75kgs of mass, but you will appear to weigh - let's say - 65kgs.
In large systems, the differences are irrelevant but consider this - every day, millions of people jump into the ocean to swim, dive, bathe, wash clothes. Add to this the combined tonnage of every ship on the planet. We have, without even thinking about it, contributed to a very small but measurable rise in global coastal sea levels.
Have fun with your buoyancy control,
C.