Density = Mass / Volume
Volume = Mass/Density
Volume = 2/128
Volume = 1/64
so side will be 4 cm
Answer:
4.0 cm
Explanation:
According to the equation, density is defined as the ratio between mass and volume:
[tex]d = \frac{m}{V}[/tex]
Assume that the side length of the given cube is a, then the volume of a cube is described by:
[tex]V = a^3[/tex]
Substituting into the density equation, we obtain:
[tex]d = \frac{m}{a^3}[/tex]
Rearranging for side a:
[tex]a = \sqrt[3]{\frac{m}{d}}[/tex]
Given:
[tex]m = 128~g[/tex]
[tex]d = 2.0~g/cm^3[/tex]
We obtain:
[tex]a = \sqrt[3]{\frac{128~g}{2.0~g/cm^3}} = 4.0~cm[/tex]
