Each cubic centimeter of gold has a mass of 19.3 g. A cube of gold measures 4.23 cm on each edge. (a) What is the volume of the cube? What is its mass?

Respuesta :

Answer: The volume of the gold is   [tex]75.68g/cm^3[/tex]

The mass of gold is 19.3 g

The density of gold is [tex]0.25g/cm^3[/tex]

Explanation:

Density is defined as the mass contained per unit volume.

[tex]Density=\frac{mass}{Volume}[/tex]

Given : Mass of gold = 19.3 grams

To calculate the volume of cube, we use the equation:

[tex]V=a^3[/tex]

where,

V = volume of cube

a = edge of cube

Volume of gold = [tex](4.23cm)^3=75.68cm^3[/tex]

Putting values in above equation, we get:

Putting in the values we get:

[tex]Density=\frac{19.3g}{75.68cm^3}=0.25g/cm^3[/tex]

Thus density of gold will be [tex]0.25g/cm^3[/tex]

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