Question

How to calculate density of a solid?

Answer 1

Hint: Density is a measure of how compact the mass in a substance or object is. For solving these types of questions, we should know that density of a material is simply the mass divided by its volume and how it is affected by different states of the matter.

Complete answer:
Density is a measure of the compactness of any substance, it is the ratio of the mass per unit volume of the substance. So density can be expressed as :
\[Density = \dfrac{{mass}}{{volume}}\]
To find the density of a substance we need to substitute the values of mass and volume of that substance in the above formula. Thus the density can be found using this formula when the mass and volume are known.

Additional Information: The above formula can be applied to many problems for example if we need to find the density of a substance of mass \[100g\] and volume \[10c{m^3}\].
Here, mass \[ = \] \[100g\], volume \[ = \] \[10c{m^3}\].
\[\therefore \] \[Density = \dfrac{{mass}}{{volume}}\] \[ = \] \[\dfrac{{100g}}{{10c{m^3}}}\] \[ = 10g/c{m^3}\].

Note: Note that the S.I. unit of density is \[kg/{m^3}\] . Density is also denoted by the symbol \[\rho \]. Remember the formula for density as it is applicable in numerous numerical problems. Also note that when finding the density the volume and the mass need to be in the same system of units.