Pressure, Buoyant Force problem

AI Thread Summary
A solid cube is floating in water with 1/4 of its volume above the surface, prompting a calculation of its density. The buoyant force equals the weight of the cube, leading to the use of fluid density and pressure equations. The attempt to find the density involved incorrect area multiplication and misunderstanding of percentage calculations. The correct density of the cube should be 750 kg/m³, indicating a decimal error in the initial calculations. Clarification on percentage representation is essential, as 3/4 equals 75%, not 0.75.
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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
 
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(Density of the object / density of the fluid) x 100 = Prencentage of object's volume in the fluid
 
But when I do that I get the following:
b/1000 kg/m^3 times 100=3/4
100b/1000=3/4
1b/10=3/4
b=7.5 and b is the density of the object but on my sheet it says the answer is 750 kg/m^3 and its almost like my answer but the decimal is moved over and idk y. Maybe my work was wrong or something can u explain ?
 
hmzone said:
(Density of the object / density of the fluid) x 100 = Prencentage of object's volume in the fluid

But when I do that I get the following:
b/1000 kg/m^3 times 100=3/4
100b/1000=3/4
1b/10=3/4
b=7.5 and b is the density of the object but on my sheet it says the answer is 750 kg/m^3 and its almost like my answer but the decimal is moved over and idk y. Maybe my work was wrong or something can u explain ?
 
3/4=0.75 is not the Precentage dude, it's 75%
 
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