How to get volume from density and mass? formula

How to get volume from density and mass?

One cannot get the volume of a substance from only the density of the substance. The mass of the substance is also required to find it. Because there is a relation between the density, volume and mass of a substance as Volume = mass × density.

If m and d be the mass and density of the substance respectively, then the formula for volume of the substance will be V= m×d ………(1).

Using equation-(1) one can find the volume of a substance from its density and mass. Clearly, these three physical quantities are connected to each other. if we know the values of any two among these three quantities, the value of the other quantity can be found easily by simple mathematics.

Process to get volume:

  1. First know the value of density of the substance. It may be provided to you during asking the question. Again, density is a physical property of materials or substances. So, one can easily find it on the internet or in any physics textbook. For example, the density of pure water is 1 g/cm3 in CGS and 1000 kg/m3 in SI unit.
  2. Now, you also need the value of the mass of the given substance. If the mass is not provided then measure it using a beam balance or a digital weight machine.
  3. Now, you have the values of the mass and density of the substance. So, you can find the volume of the substance by multiplying the mass with the density i.e. by using the above equation-(1).

Numerical problems on density

1. The density of an object is 800 kg/m3. Find the volume of 2 kg object.

The formula for volume is, Volume = mass × density

or, the volume of the object = 2×800 = 1600 m3……..(Answer)

This is all from this short article. Hope you got your answer. If you still have any doubts on this topic you can ask me in the comment section.

Thank you!

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