According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by determining how much water it displaced. The density of gold is 19.3 g/cm3. If the crown's mass was 600 grams, what volume of water would have been displaced if the crown was indeed made of pure gold?22,800 cm 331.1 cm 3114,000 cm 31.81 cm 3NEXT QUESTION
Question
According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by determining how much water it displaced. The density of gold is 19.3 g/cm3. If the crown's mass was 600 grams, what volume of water would have been displaced if the crown was indeed made of pure gold?22,800 cm 331.1 cm 3114,000 cm 31.81 cm 3NEXT QUESTION
Solution
To solve this problem, we need to use the formula for density, which is mass divided by volume (Density = Mass/Volume). We know the mass of the crown and the density of gold, so we can rearrange the formula to solve for volume (Volume = Mass/Density).
Given: Mass (m) = 600 grams Density (D) = 19.3 g/cm^3
We plug these values into the formula:
Volume (V) = Mass/Density V = 600 g / 19.3 g/cm^3 V = 31.1 cm^3
So, if the crown was made of pure gold, it would displace 31.1 cm^3 of water.
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