# 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?

## Density of copper is $8.96 \frac{g m .}{c {m}^{3}}$ and that of lead is $11.4 \frac{g m .}{c {m}^{3}}$.

Sep 25, 2017

Volume of copper should be $3.333$ $c m {.}^{3}$

#### Explanation:

As weight is volume multiplied by density of an object,

weight of lead is $2.62 \times 11.4$ $g .$

Let the volume of copper be ${V}_{c}$

its weight would be ${V}_{c} \times 8.96$ and as it is equal to weight of lead

${V}_{c} \times 8.96 = 2.62 \times 11.4$

or ${V}_{c} = \frac{2.62 \times 11.4}{8.96} = \frac{29.868}{8.96} = 3.333$ $c m {.}^{3}$