Question

A cubic piece of metal measures 5.00 cm on each edge. if the metal is nickel, whose density is 8.90g/cm 3 , what is the mass of the cube?

1. thienan
The mass of cubic nickel piece has been 1112.5 kg.
According to the statement
we have given that the A cubic piece of metal measures 5.00 cm on each edge. if the metal is nickel, whose density is 8.90g/cm^3.
And we have to find the mass of the cube.
So, For this purpose, we know that the
Cube is a regular solid with six square faces.
The mass and the volume of the cube is
V = a^3
Where the edge length of the cubic nickel metal has been, a = 5.00cm
Substituting the value for the volume (V) of nickel cube:
V = (5)^3
V = 125 cm^3
And
The volume of cubic metal piece has been found to be 125 cm^3.
And
The density has been defined as mass of the substance, per unit volume. The density can be expressed as:
d = m/v
The density of a given sample, is 8.90 g/cm^3
The volume of the given sample, is 125 cm^3.
So,
mass = density* volume
mass = 8.90*125
Mass = 1112.5 kg
So, The mass of cubic nickel piece has been 1112.5 kg.