Question

cubes are three - dimensional square shapes that have equal sides. what is the density of a cube that has a mass of 12.6 g and a measured side length of 4.1 cm? (density (d=\frac{m}{v}))
1828 g/cm³
3254 g/cm³
3.073 g/cm³
68.52 g/cm³

Explanation:

Step1: Calculate volume of the cube

The volume $V$ of a cube with side - length $a$ is given by $V=a^{3}$. Here, $a = 4.1$ cm, so $V=(4.1)^{3}=4.1\times4.1\times4.1 = 68.921\ cm^{3}$.

Step2: Calculate density

The density formula is $D=\frac{m}{V}$. Given $m = 12.6$ g and $V = 68.921\ cm^{3}$, then $D=\frac{12.6}{68.921}\approx0.1828\ g/cm^{3}$.

Answer:

$0.1828\ g/cm^{3}$