What are the length of the side of a cube and the volume if the mass of the cube is 50g?the density of the material of cube is 7.8g/cm^3

Since to determine the length of each side of the cube, we
need to know the volume, we'll begin by calculating the
volume.

First, we'll recall the volume
formula:

V = mass/density

From
enunciation, we know the mass and the density of material, therefore we can calculate
the volume of the cube:

V = 50 g/7.8
g/cm^3

V = 6.410 cm^3

We'll
recall the formula that gives the volume of a cube:

V =
l^3, where l is the length of the side of the cube.

6.410 =
l^3

l = cube root (6.410)

l =
1.857 cm

The requested length of the side of
the cube and the volume of the cube are: l = 1.857 cm and V = 6.410
cm^3.