We have a wooden piece with a volumetric mass of 800kg/m^3 and a mass of 200c.m^2 that floats on water. Find the submerged volume of the piece. (Knowing that the volumetric mass of water is 1000kg/m^3)

Question

anonymous · Answer

Please word this question correctly. Your wording is conflicting.

anonymous · Answer

Well i don't know how to explain it because english is my second language

anonymous · Answer

I wish if I could post a picture

anonymous · Answer

The question is to find the volume of the submerged part of the wooden piece

irishboy123 · Answer

"volumetric mass  " = density

what does this mean: "200c.m^2"

irishboy123 · Answer

weight or mass?  they are edifferent.

do you mean 100g ??  0.1kg??

c.m^2 does not mean anything obvious

anonymous · Answer

Soooooorrrryy my bad, it's volume i meant

anonymous · Answer

You have to change it into m^3

irishboy123 · Answer

so its volume is 200.  200 what?  you wrote c.m^2 for your units.

anonymous · Answer

Yea yes you have to change it into cubic meter

irishboy123 · Answer

the relevant principle is : 

A floating object displaces its own mass of the fluid in which it floats.

so for a body (b) in water (w) we can say

$m_b = m_w$ for the mass of body and the mass of displaced water

thus $\rho_b * V_b = \rho_w* V_w$ where $\rho$ is density and $V$ is volume

plug in numbers

anonymous · Answer

Pb =800kg/m^3.  Pw=1000kg/m^3. Vb= 200cm^3=200*10^-6m^3

irishboy123 · Answer

$\huge  V_w = \frac{ρ_b∗V_b}{ρ_w} $