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## Homework Statement

A solid cube of unkown material is floating upright in water so that 1/4 of the cube is above the surface of the water. What is the density of the material?

## Homework Equations

Density=m/v

F=mg

Fb=density of fluid times volume of the fluid times g

P=density times height times g

## The Attempt at a Solution

Since the cube is floating upright in the water I think that means that the force of weight is equal to the buoyant force.

P=density times h times g

P=1000 kg/m^3 times 1/4 times 9.80 which equals 2450 Pa

Then I used F=PA

F=2450 Pa times 1/4 which equals 612.5 N

Then I used F=mg

m=F/g

m=612.5 N/9.80 m/s^2

m=62.5 kg

I don't know what 2 do from there and I think one of my step is wrong because I multiplied the area by 1/4 but I don't think that's right can someone please help me and explain 2 me how to solve this problem