Question

Calculate the volume of a sheet of aluminium weighting 675g (density of aluminium = 2.7g/$c{m^2}$ )

Answer 1

Hint:The basic approach to solve this question is simply by applying mass density formula that is
$\rho = \dfrac{m}{V}$
Where $\rho $ is the density, m is the mass and v is the volume occupied by that mass.
Let us also discuss the units in formula also
M has unit kg
V has unit of ${m^3}$
$\rho $ has unit kg/${m^3}$

Complete step by step answer:
According to the question given we have to calculate the volume of the sheet by using mass density formula.
So, let us first collect the given data,
Mass is 675g
Density is 2.7$g/cm$$^3$
Volume is unknown
Now, let us apply the formula
$\rho = \dfrac{m}{V}$
Putting the values all mass and density
$2.7 = \dfrac{{675}}{V}$
$V = \dfrac{{675}}{{2.7}} = 250$
Hence the volume is 250 $c{m^3}$

Note: Here we have taken units in g and $c{m^3}$ as the initial units are also given in this format. We can also solve the question by converting all the units into standard units first, then the volume we get will be in cubic meters.