Question

How do you calculate the density of a piece of metal that is 25.0 g and has a volume of 2.5 $cm^3$ ?

Answer 1

Hint: We know that the relation between the mass of the substance and the space occupied by it, is established by the density. Here, we have to use the formula of density, that is,
Density=$\dfrac{{{\text{Mass}}}}{{{\text{Volume}}}}$.

Complete step by step answer:
Here, we have to calculate the density of the metal whose mass is 25 g and volume is 2.5 $cm^3$ .
Now, applying the formula of density,
Density=$\dfrac{{25\,{\text{g}}}}{{2.5\,{\text{c}}{{\text{m}}^3}}} =10\,{\text{g/c}}{{\text{m}}^{^3}}$

Therefore, the density of the metal is 10 g/ $cm^3$ .

Additional Information:
Let’s discuss some points regarding density.
1) Archimedes who was a Greek scientist discovered the principle of density.
2) Density refers to the measurement of mass of an object having the unit volume. Symbolically it is represented by the symbol $\rho $.
3) Solids are denser than liquids and gases as the packing of particles in solid is very high having less space among them.
4) There are two types of density namely relative density and absolute density. Relative density is the ratio of density of a material to the density of reference material. And absolute density refers to the mass of any substance per unit volume of a material.

Note: There are many applications of density in our day to day life. The life tubes are designed for swimming considering the principle of density, so that it floats on water and people can swim without sinking. Air which is less dense than water is filled to the life tubes. So, it floats on water.