What will be the volume of a copper nugget, if its weight is equal to that of a piece of lead having volume $2.62cm^3$ ?

Question

Density of copper is $8.96(gm.)/(cm^3)$ and that of lead is $11.4(gm.)/(cm^3)$ .

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Answer 1 · 2017-09-25T05:17:48

Volume of copper should be $3.333$ $cm.^3$

As weight is volume multiplied by density of an object,

weight of lead is $2.62xx11.4$ $g.$

Let the volume of copper be $V_c$

its weight would be $V_cxx8.96$ and as it is equal to weight of lead

$V_cxx8.96=2.62xx11.4$

or $V_c=(2.62xx11.4)/8.96=29.868/8.96=3.333$ $cm.^3$