A large diamond with a mass of 481.3 grams was recently discovered in a mine. if the density of the diamond is 3.51 grams over centimeters cubed, what is the volume? round your answer to the nearest hundredth.

Respuesta :

A volume of the evaluated diamond is 137.1 cm³ with a mass of 481.3 grams and a density of 3.51 g/cm³.

What is the relationship between a substance's density, volume, and mass?

Assume there is a finite number of items with the following properties:

  1. mass of the substance = m kg
  2. density of the substance = d kg/m³
  3. volume of the substance = v m³

Density = mass/volume

Thus, Volume = mass/ density

The given values are-

  • mass of the diamond= 481.3 g
  • density of diamond= 3.51 g/cm³
  • volume of the diamond = v cm³ (let)

After direct computation, the volume would be in cubic cm because the mass is in grams and the density in grams per cubic cm.

The density definition then yields;

Volume = 481.3 g/ 3.51 g/cm³

Volume =  137.1 cm³ (approx)

Therefore, the volume of a large diamond is   137.1 cm³ .

To know more about the volume density relation, here

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