Question

1. find the volume of an object with a density of 3.1 g/ml and a mass of 12 g.

Explanation:

Step1: Recall the 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 we can rearrange the formula to $V=\frac{m}{
ho}$.

Step2: Substitute the given values

We know that $m = 12\ \text{g}$ and $
ho=3.1\ \text{g/mL}$. Substituting these values into the formula for $V$, we get $V=\frac{12\ \text{g}}{3.1\ \text{g/mL}}$.

Step3: Calculate the volume

Performing the division, $V=\frac{12}{3.1}\approx 3.87\ \text{mL}$ (rounded to two decimal places).

Answer:

The volume of the object is approximately $\boldsymbol{3.9\ \text{mL}}$ (or more precisely $\boldsymbol{\frac{120}{31}\approx 3.87\ \text{mL}}$).