Answer
$57.98\text{ cm}^3$
Work Step by Step
To find the volume of gold that has the same mass as $125\text{ cm}^3$ of copper, we use the densities of both metals:
Density of copper $\approx 8.96 \text{ g/cm}^3$
Density of gold $\approx 19.32 \text{ g/cm}^3$
Let's calculate the mass of copper:
$\text{Mass}=125\text{ cm}^3\times 8.96\text{ g/cm}^3=1120\text{ g}$
Then we calculate the volume of gold with the same mass:
$\text{Volume}=\frac{1120\text{ g}}{19.32\text{ g/cm}^3}\approx 57.98\text{ cm}^3$
