10 POINTS, am I understanding Archimedes Principle correctly ... ok so I place
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10 POINTS, am I understanding Archimedes Principle correctly ... ok so I place

[From: ] [author: ] [Date: 12-06-25] [Hit: ]
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-No, your question is inconsistent.If half the object floats (by which I assume you mean it floats with half submerged),......
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

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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).

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You're welcome. I'm glad to help.

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