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myrzilka [38]
3 years ago
7

Two solid cubes have the same Mass but their edges are in the ratio of 4:1. What isthe ratio of their densities?​

Physics
1 answer:
lawyer [7]3 years ago
7 0

Let <em>m</em> be the mass of both cubes. If the smaller cube has side length <em>x</em>, then its volume is <em>x</em> ³. The side lengths of the larger cube have length 4<em>x</em>, so the larger cube's volume is (4<em>x</em>)³ = 64<em>x</em> ³, or 64 times as large as the smaller cube.

The first cube has a density of <em>m</em>/<em>x</em> ³, while the larger one has a density of <em>m</em>/(64<em>x</em> ³) = 1/64 <em>m</em>/<em>x</em> ³, so the ratio of densities is (1/64):1, or 1:64 (larger cube to smaller cube).

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