(a) Write down an equation that defines density.
(b) $5\ kg$ of material A occupy $20\ cm^3$ whereas $20\ kg$ of material B occupy $90\ cm^3$. Which has the greater density : A or B ? Support your answer with calculations.

(a). Equation of density: 

The mass per unit volume is called the density of a substance.

$\boxed{density=\frac{mass}{volume}}$

(b).  Mass of the material $m_A=5\ kg=5\times1000\ g=5000\ g$

Volume occupied $V_A=20\ cm^3$

Therefore, density of material 'A' $=\frac{mass}{volume}$

$=\frac{5000\ g}{20\ cm^3}$

$=250\ g/cm^3$

For material 'B':

Mass $m_B=20\ kg=20\times1000\ g=20000\ g$

Volume $V_B=90\ cm^3$

Therefore, the density of volume 'B'  $=\frac{20000\ g}{90\ cm^3}$

$=222.22\ g/cm^3$

Thus, material 'A' has a greater density.

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Updated on: 10-Oct-2022

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