How many times is the volume of a cube made of aluminum greater than the volume

How many times is the volume of a cube made of aluminum greater than the volume of a cube of the same mass made of tin?

Given:

m1 is the mass of a cube made of aluminum;

m2 is the mass of a cube made of tin;

m1 = m2;

ro1 = 2700 kg / m ^ 3 is the density of aluminum;

ro2 = 7300 kg / m ^ 3 is the density of tin.

It is required to find the ratio of the volume of cubes V1 / V2.

V1 = m1 / ro1 – the volume occupied by the aluminum cube;

v2 = m2 / ro2 – the volume occupied by the tin cube;

V1 / V2 = m1 * ro2 / (m2 * ro1) = ro2 / ro1 = 7300/2700 = 2.7 times.

Answer: The volume of an aluminum cube will be 2.7 times that of a tin cube.