I need help solving. Please be detailed

Question

A cube of Al weighs 72.90g and has a density of 2.70 g/ cm^3. What is the length of each side of the cube ?

Answer 1

First we find the volume of the cube as follows:

Using dimensional analysis and the definition of density as mass/volume, we have...

72.90 g x 1 cm³/2.70 g = 27.0 cm³ (this is the volume of the cube)

Since volume of a cube is a x a x a where a is the length of each side, we have...

a x a x a = 27 = a³ and a = cube root of 27 = 3 cm

So, each side of the cube is 3 cm