arwan finds a piece of quartz while hiking in the mountains. when he returns to school, he takes it to his…

arwan finds a piece of quartz while hiking in the mountains. when he returns to school, he takes it to his science teacher. she helps him determine the mass to be 788.9 g. she also tells arwan that the density of quartz is 2.6 g/cm³. what is the volume of arwans piece of quartz?\n0.003 cm³\n303.4 cm³\n339.5 cm³\n2,051.1 cm³

arwan finds a piece of quartz while hiking in the mountains. when he returns to school, he takes it to his science teacher. she helps him determine the mass to be 788.9 g. she also tells arwan that the density of quartz is 2.6 g/cm³. what is the volume of arwans piece of quartz?\n0.003 cm³\n303.4 cm³\n339.5 cm³\n2,051.1 cm³

Answer

Explanation:

Step1: Recall density formula

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

Step2: Substitute given values

We know that $m = 788.9\ g$ and $\rho=2.6\ g/cm^{3}$. Substituting these values into the formula $V=\frac{m}{\rho}$, we get $V=\frac{788.9}{2.6}$.

Step3: Calculate the volume

$V=\frac{788.9}{2.6}=303.423\approx303.4\ cm^{3}$.

Answer:

303.4 $cm^{3}$