Respuesta :

Answer:

d = 50 kg/m³

Explanation:

density = [tex]\frac{mass}{volume}[/tex]

mass = 500 kg

volume = 10m³

[tex]\frac{500}{10}[/tex] = 50

d = 50 kg/m³

Taking into account the definition of density, the density of the gold is 50 [tex]\frac{kg}{m^{3} }[/tex].

First of all,  it is necessary to know the definition of density. Density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. It is an intrinsic property of matter, since it does not depend on the amount of substance that is considered.

Density expresses the relationship between the mass and the volume of a body, so the expression for its calculation is the quotient between the mass of a body and the volume it occupies:

[tex]density=\frac{mass}{volume}[/tex]

In this case, you know:

  • mass= 500 kg
  • volume= 10 m³

Replacing in the definition of density:

[tex]density=\frac{500 kg}{10 m^{3} }[/tex]

Solving:

density= 50 [tex]\frac{kg}{m^{3} }[/tex]

In summary, the density of the gold is 50 [tex]\frac{kg}{m^{3} }[/tex]

Learn more about density:

  • brainly.com/question/952755?referrer=searchResults
  • brainly.com/question/1462554?referrer=searchResults
ACCESS MORE
EDU ACCESS
Universidad de Mexico