@Andysbestadventure
That's not right!!! Omg.
If I put 1kg of gold into a full bucket of water, and I put 1kg of silver into a second full bucket of water then the amount of water displaced from each will be different. It's not about the weight. It's the VOLUME. If I have a cube of metal, then I can work out the volume by measuring it and calculating. But if I have a potato shaped lump of metal, I can't work out the volume by measuring it. If I want to find the volume, I can use archimdes volume discovery and submerge it in a full bucket, and measure the water which was displaced. That tells me the volume, not the weight.
Archimedes used this to test if a crown was solid gold. For example, the king gave a goldsmith 500g of gold to make a crown. The goldamurh came back with a crown which weight 500g. All fantastic... until the king heard rumours that the goldsmith had kept some gold for himself, and replaced it by mixing in (cheaper) silver. How can they find out the truth? The gave him 500g of gold, and he brought back a crown weighing 500g.
They knew that gold was more dense than silver, so 500g of pure gold will take up less space than 500g of mixed silver and gold, because the silver makes it bulkier. But the only way they knew the find out how much space it takes up (volume) was the melt down the crown and form it into a cube, which could be measured and volume calculated. The king didn't want the crown damaged, so asked Archimedes to work it out.
He knew the weight. But he needed to calculate the volume, to check if it was the correct volume for 500g of solid gold. He did this by submerging in water, and measuring the volume displaced. That didn't tell him the weight. It tells him the volume. He then did the same with 500g of solid gold, and measured the volume.
He found out that the crown had a greater volume than the equal weighted solid gold... because the crown was bigger. It couldn't be bigger and weigh the same if it was solid gold, so it has to be a mix of gold plus a larger quantity of lighter metal.
Archimedes princi0al expands on that discovery and goes into buoyancy and upwards force etc.