How to Determine the Depth of an Ice Cube Floating in Water?

[brunettegurl]

Homework Statement

A cube of ice whose edge measures 20.8 mm is floating in a glass of ice-cold water with one of its faces parallel to the water's surface. How far below the water surface is the bottom face of the block?

Homework Equations

P=F/A, P2-P1=$$\rho$$gh

The Attempt at a Solution

so i first found the surface area of the cube which was 2.59584m [using the formula 6*x²]
then i thought abt equating P1= 101.3 x10³Pa. and solve for h but i don't know what to put for P2..pls. help

 

[LowlyPion]

Aren't you interested in the difference in the density of water and ice? Won't the ratio of the densities work out to be the ratio of the depth below to the whole?

 

[brunettegurl]

so if i do the ratio of water to ice so 1000:917 which is about 1.091 is the answer>?

 

[brunettegurl]

i'm still unsure on how to do this question pls. help

 

[brunettegurl]

nvm i realized my mistake

 

[LowlyPion]

Sorry, I missed that it was an open item still.

Glad you figured it out.