1. In 305 A.D. Archimedes was summoned before the king of Sicily to investigate a problem. The king had hired a smith to create a crown for him. The king provided the smith with exactly enough gold to create the crown, however when it was delivered the king was convinced that the smith had cheated him out of some gold by mixing it with another metal. The king tasked Archimedes with determining if the smith had delivered on his promise. 1. To test the authenticity of the crown Archimedes first needed to know the density of pure gold. He asked the king for a cube made of pure gold. From this cube Archimedes derived the following data: Length of side Mass of cube 160.8 g 2cm What is the density of pure gold, based off Archimedes data? Remember 1cm³ is 1ml Based on this density, the crown with a mass of 1.06 Kg, would occupy how many mL?

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1. In 305 A.D. Archimedes was summoned before the king of Sicily to investigate a problem. The king had
hired a smith to create a crown for him. The king provided the smith with exactly enough gold to create
the crown, however when it was delivered the king was convinced that the smith had cheated him out
of some gold by mixing it with another metal. The king tasked Archimedes with determining if the smith
had delivered on his promise.
1. To test the authenticity of the crown Archimedes first needed to know the density of pure gold. He
asked the king for a cube made of pure gold. From this cube Archimedes derived the following data:
Mass of cube
160.8 g
Length of side
2cm
What is the density of pure gold, based off Archimedes data? Remember 1cm³ is 1ml
Based on this density, the crown with a mass of 1.06 Kg, would occupy how many mL?
Transcribed Image Text:1. In 305 A.D. Archimedes was summoned before the king of Sicily to investigate a problem. The king had hired a smith to create a crown for him. The king provided the smith with exactly enough gold to create the crown, however when it was delivered the king was convinced that the smith had cheated him out of some gold by mixing it with another metal. The king tasked Archimedes with determining if the smith had delivered on his promise. 1. To test the authenticity of the crown Archimedes first needed to know the density of pure gold. He asked the king for a cube made of pure gold. From this cube Archimedes derived the following data: Mass of cube 160.8 g Length of side 2cm What is the density of pure gold, based off Archimedes data? Remember 1cm³ is 1ml Based on this density, the crown with a mass of 1.06 Kg, would occupy how many mL?
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