Question

The density of a cube is 2.0gcm3. If the mass is 128 g, what is the length of each side of the cube?

Answer 1

Answer:

4.0 cm

Explanation:

According to the equation, density is defined as the ratio between mass and volume:

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

Assume that the side length of the given cube is a, then the volume of a cube is described by:

$V = a^3$

Substituting into the density equation, we obtain:

$d = \frac{m}{a^3}$

Rearranging for side a:

$a = \sqrt[3]{\frac{m}{d}}$

Given:

$m = 128~g$

$d = 2.0~g/cm^3$

We obtain:

$a = \sqrt[3]{\frac{128~g}{2.0~g/cm^3}} = 4.0~cm$

Answer 2

Density = Mass / Volume

Volume = Mass/Density

Volume = 2/128

Volume = 1/64

so side will be 4 cm