
An object of volume 3 cubic meter and density 6000kilogram per cubic meter. What is the mass of the object?
Answer
585.6k+ views
Hint: The density of an object is a ratio of the total mass and the volume of the body. The symbol used for density is $\rho $(rho), although the Latin letter D can also be used. In some cases instead of mass weight of the body can also be considered which is termed as specific weight.
As per the given data,
Volume of object ($V$) = $3{{m}^{3}}$
The density of the object is ($\rho $) = $6000kg{{V}^{-3}}$
Formula to be used:
The density of anybody is given by,$\rho =\dfrac{M}{V}$
Complete answer:
The mass of a uniformly distributed object can be calculated easily if the density and the volume of the object are known. The density of an object is dependent on factors such as temperature and pressure around the material.
The density of a material is mathematically expressed as the ratio of the total mass of the material and its volume.
Mathematically,
$\rho =\dfrac{M}{V}$
Where,
$M$ is the mass of the object
$V$ is the volume of the object
By rearranging the formula, the mass of the object can be calculated:
$\begin{align}
& M=\rho V \\
& \Rightarrow M=6000\times 3 \\
& \Rightarrow M=18000kg \\
\end{align}$
So the mass of the object is 18000kg.
Additional information:
According to density distribution over an object, materials are distinguished by different categories such as homogenous material, heterogeneous material, and non-compact materials.
Note:
According to the density of objects the body floats or sinks in other mediums. Anything which has less density forms a layer above the material with higher density. They never mix. The best example of this is the mixing of oil and water. Oil droplets are formed on the water surface but they never mix.
As per the given data,
Volume of object ($V$) = $3{{m}^{3}}$
The density of the object is ($\rho $) = $6000kg{{V}^{-3}}$
Formula to be used:
The density of anybody is given by,$\rho =\dfrac{M}{V}$
Complete answer:
The mass of a uniformly distributed object can be calculated easily if the density and the volume of the object are known. The density of an object is dependent on factors such as temperature and pressure around the material.
The density of a material is mathematically expressed as the ratio of the total mass of the material and its volume.
Mathematically,
$\rho =\dfrac{M}{V}$
Where,
$M$ is the mass of the object
$V$ is the volume of the object
By rearranging the formula, the mass of the object can be calculated:
$\begin{align}
& M=\rho V \\
& \Rightarrow M=6000\times 3 \\
& \Rightarrow M=18000kg \\
\end{align}$
So the mass of the object is 18000kg.
Additional information:
According to density distribution over an object, materials are distinguished by different categories such as homogenous material, heterogeneous material, and non-compact materials.
Note:
According to the density of objects the body floats or sinks in other mediums. Anything which has less density forms a layer above the material with higher density. They never mix. The best example of this is the mixing of oil and water. Oil droplets are formed on the water surface but they never mix.
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