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A solid floats with (1/4)th of its volum...

A solid floats with (1/4)th of its volume above the surface of water. Calculate the density of the solid.

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To solve the problem of finding the density of a solid that floats with \( \frac{1}{4} \) of its volume above the surface of water, we can follow these steps: ### Step 1: Understand the Problem When a solid floats, it displaces a volume of water equal to the weight of the solid. In this case, \( \frac{1}{4} \) of the solid's volume is above the water, which means \( \frac{3}{4} \) of its volume is submerged. ### Step 2: Use the Principle of Buoyancy According to Archimedes' principle, the weight of the water displaced by the submerged part of the solid is equal to the weight of the solid itself. ...
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