Question

a large emerald with a mass of 982.7 grams was recently discovered in a mine. if the density of the emerald is 2.76 grams/cm³, what is the volume? round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point. answer for blank 1:

Explanation:

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. We need to solve for $V$, so we can re - arrange the formula to $V = \frac{m}{
ho}$.

Step2: Substitute given values

We are given that $m = 982.7$ grams and $
ho=2.76\frac{grams}{cm^{3}}$. Substituting these values into the formula $V=\frac{m}{
ho}$, we get $V=\frac{982.7}{2.76}$.

Step3: Calculate the volume

$V=\frac{982.7}{2.76}\approx356.05$ $cm^{3}$

Answer:

356.05