Question

An object has a mass of 183.5 g and a density of 14.8 g/cm³. Determine the volume of the objectin cm³.

Answer 1

First, let's remember the formula to calculate an object's density:

$\begin{gathered} \rho=\text{ }\frac{m}{V} \\ \\ Being\text{ }\rho\text{ the density, m the mass, and V the volume.} \end{gathered}$

Then, we analyze what we have:

$\begin{gathered} m\text{ = 183.5 g} \\ \rho=\text{ 14.8 g/cm}^3 \end{gathered}$

We need to determine the volume, so we transform our formula like this:

$V=\text{ }\frac{m}{\rho}$

We replace our data:

$V=\text{ }\frac{183.5\text{ g}}{14.8\text{ g/cm}^3}=\text{ 12.399 cm}^3\approx\text{ 12.4 cm}^3$

Then, the answer is that the volume equals 12.4 cm^3.