Question

what volume would a 200 gram sample of gold have if its density is known to be 19.3 g/cm^3?

Explanation:

Step1: Recall density formula

The formula for density ($
ho$) is $
ho = \frac{m}{V}$, where $m$ is mass and $V$ is volume. We need to solve for $V$, so rearrange the formula to $V=\frac{m}{
ho}$.

Step2: Substitute values

Given $m = 200\space g$ and $
ho=19.3\space g/cm^3$. Substitute into the formula: $V=\frac{200}{19.3}$.

Step3: Calculate the volume

$V=\frac{200}{19.3}\approx10.36\space cm^3$ (rounded to two decimal places).

Answer:

The volume of the gold sample is approximately $\boldsymbol{10.36\space cm^3}$ (or exactly $\frac{200}{19.3}\space cm^3$).