A cube measures 2.0 cm on each edge and has a mass of 64.7 g. Calculate the density of the material that composes the cube. (The volume of a cube is equal to the edge length cubed.)?

Mar 6, 2018

${\text{8.1 g/cm}}^{3}$

Explanation:

Density is equal to mass divided by volume. You are given a mass of $64.7$ grams. You can find the volume of the cube by doing height multiplied by width multiplied by depth.

Because all of the sides of a cube are the same length, the volume just ends up being ${2}^{3}$.

("2 cm")^3="8 cm"^3

Now plug both of those numbers into your density equation

$\rho = \frac{m}{V} = {\text{64.7 g"/"8 cm"^3 = "8.1 g/cm}}^{3}$

Mar 6, 2018

Approximately $8.09 \setminus {\text{g/cm}}^{3}$.

Explanation:

Density is defined by the equation

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

where $m$ is the mass of the object, and $V$ is the volume of the object.

We have a cube with sides $2 \setminus \text{cm}$ and a mass of $64.7 \setminus \text{g}$. We know that the volume of a cube is ${s}^{3}$, where $s$ is its side.

So, the volume of this cube is (2 \ "cm")^3=8 \ "cm"^3.

Now, we just plug in values into the density equation.

$\rho = \left(64.7 \setminus {\text{g")/(8 \ "cm}}^{3}\right)$

$\approx 8.09 \setminus {\text{g/cm}}^{3}$