calculate the mass of a body whose volume is 2m3 and r.d is 0.52
Answers
Answer:
R.D. of silver = 0.52. Volume = 2 m3. Density of body in S.I. = 0.52 × 103 kgm3. ∴ Mass = Density × volume = (0.52 × 103) × 2 = 1040 kg .
Given,
The volume of a body = 2 m^3
Relative density of the body = 0.52
To find,
The mass of the body.
Solution,
We can simply solve this numerical problem by using the following process:
Mathematically,
Relative density of a body = density of the body/density of water
=> Density of the body = (relative density of a body)(density of water)
{Equation-1}
Also, density = mass/volume
=> mass = density × volume
{Equation-2}
The density of water = 1000 Kg/m^3
Now, according to equation-1;
The density of the given body
= (relative density of a body)(density of water)
= 0.52 × 1000 Kg/m^3
= 520 Kg/m^3
Now, according to the equation-2;
The mass of the body
= density of the body × volume of the body
= 520 Kg/m^3 × 2 m^3
= 1040 Kg
Hence, the mass of the body is equal to 1040 Kg.