A cube of a glass of 5 cm side and mass $ 30^{6}$ g, has a cavity inside it. If the density of glass is $ 2.55 cm ^{-3} $. Find the volume of the cavity.
$5 cm^{3}$
Difficulty: Medium
Solution:
Size of the cube = 7.5 cm
Mass of the cube = m = 306 g
Density of glass $= \rho$ = $2.55 kgm^{-3}$
The volume of the cavity = V =?
Volume of the whole cube = $5 cm \times 5$ $cm\times 5 cm = 125 cm^{3}$
Volume of the glass $=\frac{Mass}{Density}$
Volume $=\frac{306}{2.55} = 120 cm^{3}$
Volume of the cavity $ =125 cm^{3} –120 cm^{3}$ $= 5 cm^{3} $
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