Question

The density of steel rod is $7850kg{m^{ - 3}}$, its mass is $5$ kg. Find its volume?
(A) $7.36 \times {10^{ - 4}}{m^3}$
(B) $36 \times {10^{ - 4}}{m^3}$
(C) $6.36 \times {10^{ - 4}}{m^3}$
(D) $6 \times {10^{ - 4}}{m^3}$

Answer 1

Hint
In this question density and mass of rod are given we have to find out the value of volume of steel rod. For this we use the formula i.e. $density = \dfrac{{mass}}{{volume}}$, on substituting the values we get the required result.

Complete step by step solution
As it is given that -
Mass of steel rod is $M = 5kg$
Density of steel rod is $D = 7850kg{m^{ - 3}}$
As, density is defined as the ratio of mass to the volume so the required formula is
$density = \dfrac{{mass}}{{volume}}$
$ \Rightarrow volume = \dfrac{{mass}}{{density}}$
Substituting the values, we get
$ \Rightarrow volume = \dfrac{5}{{7850}} = 6.36 \times {10^{ - 4}}{m^3}$.
Hence, the volume of the steel rod is $6.36 \times {10^{ - 4}}{m^3}$.
Thus, option (C) is correct.

Note
The term density refers to the measure to the mass of an object or body having unit volume. It is usually measured how tightly the matter is packed. Solids are denser than liquid or gases because they are tightly packed with little space between them. However, comparatively liquids are denser than gases.