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

Question

2673 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-07T02:47:42

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

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,

$m = "350 g"$
$ρ = "10.5 g/cm"^3$

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

images.tutorvista.com

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

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