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Gold is one of the more dense metals. It is definitely more dense than sawdust. Without looking up the exact densities, we can still make a comparison.

Density = Mass/Volume ---> Volume = Mass/Density.

Since we have the same mass of each: Mass = 1 tonne, we have:

Volgold = 1/Densitygold, and Voldust = 1/Densitydust. So we want to compare Volgold and Voldust :

1/Densitygold 1/Densitydust. We already know that Density of gold is greater, so we have: 1/(big number) 1/(smaller number). So 1/(big number) is less volume. Just pick some numbers to see:

1/1000 < 1/10. The volume of the same mass of sawdust is greater.

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Q: What takes up more space a ton of gold or a ton of sawdust?
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