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

Physics
JAMB 1987

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?

  • A. 0.125
  • B. 0.250
  • C. 0.625
  • D. 2.500
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Correct Answer: Option C
Explanation

Height below liquid = 1 - \(\frac{1}{5}\) = \(\frac{4}{5}\)

volume of cube = 10\(^3\)cm\(^3\)

volume of liquid displaced = \(\frac{4}{5}\) x 1000

= 800cm\(^3\)

density of liquid displaced;

= \(\frac{500}{800}\)

= 0.625


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