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Friday, 31 July 2026
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A cube of side 10cm and mass 0.5kg floats in a liquid with only \(\frac{1}{5}\) of its ...

A cube of side 10cm and mass 0.5kg floats in a liquid with only \(\frac{1}{5}\) of its height above the liquid surface. What is the relative density of the liquid?
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  • A 0.125cm-1
  • B 0.250gcm-1
  • C 0.625cm-1
  • D 2.500cm-1
Correct Answer: Option C
Explanation:
Height below liquid = 1 - \(\frac{1}{5}\) = \(\frac{4}{5}\)
volume of cube = 103cm3
volume of liquid displaced = \(\frac{4}{5}\) x 1000
= 800cm3
density of liquid displaced;
= \(\frac{500}{800}\)
= 0.625cm-1

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