Amount of styrofoam submerged

  • Thread starter Mackanator
  • Start date
  • #1
I'm trying to find how much of a cube of styrofoam is submerged in water without measuring because the amount is very small.

Capture.JPG


If I have a block of styrofoam with a mass of 10g and a density of 0.018g/cm3
How much of the styrofoam will be submerged?
 

Answers and Replies

  • #2
MY guess would be 1mm, 10g of water has a volume of 10cm^3, so the same volume of styrofoam to displace same volume of water would be .1cm *10 cm * 10cm
 
  • #3
I'm a little bit confused. Can you explain that again more thoroughly?
 
  • #4
Any floating object displaces its own weight of fluid.

— Archimedes of Syracuse[3]
So the weight of the styrofoam is 10g, to float, it must displace 10g of water

The density of water is 1g/cm^3 so 10g of water has a volume of 10cm^3. That is the volume of water to be displaced by an equal volume of styrofoam, since the block has a 100cm^2 bottom, it will take a height of 1mm to reach the desired volume.
 
  • #5
Wow, simple. thanks!
 

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