true,false?
1. the king was not sure exactly what his crown was made out of?
2. Archimedes calculated the crown’s volume by measuring the amount of water it displaced.
3. The crown and the pure gold displaced equal amounts of water?
4. The crown was made of pure gold?
5. Density is calculated by adding the object’s weight and volume?
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ARCHIMEDES
Archimedes was a Greek mathematician and inventor from the 3rd century BC. He lived in Syracuse and was
both friend and relative of King Hiero II, the re Syracuse.
KING HIERO\'S PROBLEM
The king thought that his new crown was not made out of solid gold. He thought it had probably been made out
of silver then covered in gold. The king asked Archimedes to find out but told him he couldn\'t damage the crown.
ARCHIMEDES\' PROBLEM
Archimedes knew that to see if the crown was pure gold, he could not just weigh the crown. He had to know both
the volume and the weight of the crown. A crown made of solid gold would have the same volume as pure gold
of the same weight. His problem was how to calculate the volume of an irregularly shaped object.
ARCHIMEDES\' SOLUTION
He realised that if he could measure the amount of water the crown displaced, he\'d be able to calculate its
volume. He put the crown in water. Then he put pure gold of the same weight in water and measured the
amount of water that was spilled by each object.
THE RESULTS
The crown and the pure gold displaced different pro water. Archimedes now knew the weight of both the volume
of both objects.
THE CONCLUSION
Although the crown and the quantity of pure go the same they did not have the same volume a could not be the
same material. The king\'s co made of solid gold.
Archimedes was in fact investigating the density material the crown was made of and comparing density of solid
gold. Density is calculated by di weight of an object by its volume.