A solid cube of side 50cm and mass 75kg floats in a liquid with $ \frac{1}{3} $ of its height above the liquid surface. The relative density of the liquid...

Assessment: JAMB UTME - Physics - 2018 Subject: Physics

Question 1 Report

A solid cube of side 50cm and mass 75kg floats in a liquid with $ \frac{1}{3} $ of its height above the liquid surface. The relative density of the liquid is?

0.33

0.50

0.67

0.90

Answer Details

Volume of liquid displaced
= $\frac{2}{3}$ (0.5) $^{3}$
Mass of liquid displaced = mass of floating cube = 75kg
Density of liquid = $\frac{m a s s}{v o l u m e}$
= $\frac{75}{(\frac{7}{3 (0.5)})}$ × 3
= 0.9 × 103kgm $^{- 3}$
R.D of liquid = $\frac{(0.9)}{(1.0)}$ × 103
= 0.9

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A solid cube of side 50cm and mass 75kg floats in a liquid with \( \frac{1}{3} \) of its height above the liquid surface. The relative density of the liquid...

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