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A gold nugget has a volume of 20.0 cm3 and its density is 19.3 g/cm3. what is the mass of the gold nugget? 386 kg 0.965 g 386 g 965 kg

Respuesta :

Answer:

The mass of gold nugget, m = 386 grams

Explanation:

It is given that,

Volume of gold nugget, [tex]V=20\ cm^3[/tex]

Density of gold nugget, [tex]d=19.3\ g/cm^3[/tex]

We need to find the mass of the gold nugget. Mass per unit volume is called the density of gold nugget. It is given by :

[tex]d=\dfrac{m}{V}[/tex]

[tex]m=d\times V[/tex]

[tex]m=19.3\ g/cm^3\times 20\ cm^3[/tex]

m = 386 grams.

So, the mass of the gold nugget is 386 grams. Hence, this is the required solution.

Answer: The mass of the gold nugget is 386 g.

Explanation:

It is known that density of a substance is its mass divided by its volume.

Mathematically,     Density = [tex]\frac{mass}{volume}[/tex]

It is given that volume is 20 [tex]cm^{3}[/tex] and density is 19.3 [tex]g/cm^{3}[/tex]. Therefore, calculate mass of given gold nugget as follows.

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

          19.3 [tex]g/cm^{3}[/tex] = [tex]\frac{mass}{20 cm^{3}}[/tex]  

                        mass = 386 g

Thus, we can conclude that the mass of the gold nugget is 386 g.

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