Find the mass (in kg) of kerosene filled up to the brim in a tank of dimensions 5 m × 2 m × 1 m. (Density of kerosene is 800 kg/m3)  

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RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 2).
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  1. 12,500
  2. 800
  3. 8,000
  4. 1,250

Answer (Detailed Solution Below)

Option 3 : 8,000
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Concept:

Mass:

  • It is one of the fundamental quantities in Physics and the most basic property of matter.
  • It can be defined as the measure of the amount of matter in a body.
  • The SI unit of mass is Kilogram (kg).

Density:

  • Density is the measurement of how tightly a material is packed together.
  • It is defined as the mass per unit volume.

Mathematically, \(\rho=\frac{Mass}{Volume}\)

Calculation:

Given:

dimension of tank = 5 m × 2 m × 1 m, Density (ρ) = 800 kg/m3

∵ \(\rho=\frac{Mass}{Volume}\)

⇒ \(800=\frac{M}{5~×~2~×~1}\)

⇒ Mass = 800 × 10 = 8000 kg

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