Question

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

Answer 1

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`

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