The mass of cubic nickel piece has been 3.75468 kg.
The shape of the metal piece has been cubic in nature. The volume (V) of cubic piece has been given by:
[tex]V=a^3[/tex]
Where the edge length of the cubic nickel metal has been, [tex]a=7.50\;\text {cm}[/tex]
Substituting the value for the volume (V) of nickel cube:
[tex]V=(7.50)^3\;\rm cm^3 \\\textit V=421.875 \;cm^3[/tex]
The volume of cubic metal piece has been found to be [tex]\rm \bold{421.875\;cm^3}[/tex].
The density has been defined as mass of the substance, per unit volume. The density can be expressed as:
[tex]d=\dfrac{m}{V}[/tex]
The density of a given sample, [tex]d=8.90\;\rm g/cm^3[/tex]
The volume of the given sample, [tex]V=421.875\;\rm cm^3[/tex]
Substituting the values for the mass, m:
[tex]8.90=\dfrac{m}{421.875}\\\\m=8.90\;\times\;421.875\;\text g\\m=3754.68\;\text g \\m=3.75468\;\rm kg[/tex]
The mass of cubic nickel piece has been 3.75468 kg.
For more information about density, refer to the link:
https://brainly.com/question/952755
