A 68 g bar of gold is cut into 3 equal pieces. How does the density of each piece compare to the density of the original gold bar?

Respuesta :

68/3=22.66 so its a third of the original density

Answer:

The density would be same.

Step-by-step explanation:

[tex]\because \text{Density}=\frac{\text{Mass}}{\text{Volume}}[/tex]

Here, the mass of the original box = 68 g,

Suppose V be the volume of the original box,

Then, the density of the original box = [tex]\frac{68}{V}[/tex]

After cutting this box into 3 equal pieces,

Mass of each piece = [tex]\frac{68}{3}[/tex]

While, the volume of each piece = [tex]\frac{V}{3}[/tex]

So, the density of each piece = [tex]\frac{68/3}{V/3}[/tex] = [tex]\frac{68}{V}[/tex]

Hence, the density would be same.