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

Mar 7, 2017

The volume of water displaced was ${\text{33.3 cm}}^{3}$.

#### 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

$m = \text{the mass of the object}$ and
$V = \text{the volume of the object}$

We can rearrange this formula to get

V = m/ρ

In this problem,

$m = \text{350 g}$
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

Per Archimedes, ${\text{33.3 cm}}^{3}$ of silver will displace ${\text{33.3 cm}}^{3}$ of water.