What volume of water does an object with a mass of 350 g and a density of #"10.5 g·cm"^3# displace?

1 Answer
Mar 7, 2017

Answer:

The volume of water displaced was #"33.3 cm"^3#.

Explanation:

The formula for the density (#ρ#) of an object is

#color(blue)(bar(ul(|color(white)(a/a)ρ = m/Vcolor(white)(a/a)|)))" "#

where

#m = "the mass of the object"# and
#V = "the volume of the object"#

We can rearrange this formula to get

#V = m/ρ#

In this problem,

#m = "350 g"#
#ρ = "10.5 g/cm"^3#

#V = (350 color(red)(cancel(color(black)("g"))))/(10.5 color(red)(cancel(color(black)("g")))//"cm"^3) = "33.3 cm"^3#

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Per Archimedes, #"33.3 cm"^3# of silver will displace #"33.3 cm"^3# of water.