![]() ![]() He stepped into the tub and watched as water spilled over the top of the tub and onto the floor. His thoughts distracted him from watching the water fill the bath tub and Archimedes stopped the water right as it was about to splash over the side. Frustrated by this problem Archimedes decided to relax in a bath. Alas, he was unable to melt down the king’s new crown and so he had to find a new solution. If the crown had the same density as pure gold than the crown was pure. Since density is a characteristic property it will remain the same no matter the amount of gold as long as the gold is pure. He thought to himself, “There must be another way to prove the crown isn’t pure gold! If only I could melt down the crown and make it into a cube so I could calculate the volume of the crown and the volume of the gold.” By using the relationship between mass and volume he could determine the density of the crown. Upon weighing the crown and the gold Archimedes discovered that they did indeed share the same mass, but Archimedes had a bad feeling about the crown and the goldsmith. The next day the goldsmith delivered the crown to the king with Archimedes waiting to balance the crown and the weight of the original gold. Archimedes pondered this for a while, and decided that he could just weigh the crown when it was delivered to the king and make sure that the crown had the same mass as the original amount of gold given to the goldsmith. “Archimedes”, the king said, “I need to you make sure that the goldsmith has really used all the gold I gave him in the crown”. In his desperation the king called for his royal scientist, Archimedes. He had to make sure that the crown was truly made out of the finest gold in the kingdom. In his dream the king saw the goldsmith stealing some of his gold and replacing the stolen gold with a cheap metal to make the crown. ![]() Time passed and the king awaited his fabulous new crown, but one night the king had a dream. The king went to a goldsmith in town and said, “I desire for you to create for me the most beautiful, regal crown that will show everyone my great wealth and power.” The goldsmith accepted the job and the king gave him the bars of his finest gold that the goldsmith would need to make such an exquisite crown. Name:_ Date:_Core:_Īrchimedes and the Golden Crown In the first century BCE King Hiero desired a new crown. ![]()
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