The volume of the marble is 1.11 cubic meter.
We have a marble whose mass is 3 g and density is 2.7 g/[tex]m^{3}[/tex].
We have to determine its volume.
The relation between the mass and density of any solid is given by -
M = ρV
Where -
M - mass of body
ρ - density of body
V - volume of body
According to the question -
M = 3 g
ρ = 2.7 g/[tex]m^{3}[/tex]
Using the formula discussed above, we get -
M = ρV
V = [tex]\frac{M}{\rho}[/tex] = [tex]\frac{3}{2.7}[/tex] = 1.11 cubic meter
Hence, the volume of the marble is 1.11 cubic meter.
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