Question

a cube measures 1.8 cm on each edge and has a mass of 64.9 g. calculate the density of the material that composes the cube. (the volume of a cube is equal to the edge length cubed.)
20.0 g/cm³
36.1 g/cm³
11 g/cm³
8.99×10⁻² g/cm³

Explanation:

Step1: Calculate the volume of the cube

The volume formula of a cube is $V = a^{3}$, where $a = 1.8$ cm. So $V=(1.8)^{3}=1.8\times1.8\times1.8 = 5.832$ $cm^{3}$.

Step2: Calculate the density

The density formula is $
ho=\frac{m}{V}$, where $m = 64.9$ g and $V = 5.832$ $cm^{3}$. So $
ho=\frac{64.9}{5.832}\approx11$ $g/cm^{3}$.

Answer:

C. $11$ $g/cm^{3}$