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A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point. (6 points)

Respuesta :

Step-by-step explanation:

The density formula is: Density =mass/vol

---> 2.76 =812.04 / Vol ---> Vol= 812.04 / 2.76= 294.22

The answer is 294.22

The volume of the emerald with mass 812.04 grams and density 2.76 grams/cubic cm is [tex]294.22 \: \rm cm^3[/tex] approximately.

How are density, volume and mass of a substance related?

Suppose that a finite amount of substance is there having its properties as:

  • mass of substance = m kg
  • density of substance = d kg/m³
  • volume of that substance = v m³

Then, they are related as:

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

For this case, we have:

  • mass of substance = m = 812.04 g
  • density of substance = d = 2.76 g/cm³
  • volume of that substance = v cm³

Then, we have:

[tex]d = \dfrac{m}{v}\\\\v = \dfrac{m}{d} = \dfrac{812.04}{2.76} \approx 294.22 \: \rm cm^3[/tex]

Thus, the volume of the emerald with mass 812.04 grams and density 2.76 grams/cubic cm is [tex]294.22 \: \rm cm^3[/tex] approximately.

Learn more about volume, mass and density here:

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