an object in a bath of water and exactly half of it floats. The object displaces 100 cm^3 of water.
Suppose the object I placed was a cube of 20 cm by 20 cm by 20 cm.
So the cube has a volume of 800 cm^3.
if half of this cube displaces, 100 cm^3 of water, then 400 Cm^3 of this cube is equal in density to 100 cm^3 of water.
So the cube is less dense than water by a factor of 4.
is this right?
please correct me and add any details you think will help me understand better
Suppose the object I placed was a cube of 20 cm by 20 cm by 20 cm.
So the cube has a volume of 800 cm^3.
if half of this cube displaces, 100 cm^3 of water, then 400 Cm^3 of this cube is equal in density to 100 cm^3 of water.
So the cube is less dense than water by a factor of 4.
is this right?
please correct me and add any details you think will help me understand better
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No, your question is inconsistent. If half the object floats (by which I assume you mean it floats with half submerged), then 400 m³ of water is displaced. On the other hand, if 100 cm³ of water is displaced, then only 1/8 of the object is submerged. I don't know which one you really mean.
Let's go with the "half submerged". In this case, then the entire cube (800 cm³) has the same weight as 400 cm³ of water. Therefore, the cube has one-half the density of water (same mass in twice the volume).
Let's go with the "half submerged". In this case, then the entire cube (800 cm³) has the same weight as 400 cm³ of water. Therefore, the cube has one-half the density of water (same mass in twice the volume).
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You're welcome. I'm glad to help.
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