Finding Density of a Floating Block

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SUMMARY

The discussion focuses on calculating the density of a floating block submerged in water. Given the block's height of 0.260 m and its submerged depth of 0.2530 m, the density of the block can be determined using the principle of buoyancy. The total weight of the block equals the weight of the water displaced, which is calculated using the submerged volume. The correct approach involves using the submerged volume to find the mass and then applying the density formula.

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superjen
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A uniform block of height 0.260 m, floats in water of density 1000 kg/m3. The bottom of the block is 0.2530 m below the surface of the water. What is the density of the block?

fb = mg
m=(pf)(v)
d = m/v

What i did was find the mass, using the volume of what is submerged, then when i found d using equation 3, i used the v of the whole block.
I know I am mixing something up here, but I am not sure what it is..
 
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The total weight of the block must equal the weight of water displaced.
If the block was the same density as water all of it would be under the surface, if it was half the density of water half of it would be below the surface.
What proportion is below the surface?
 

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