If an object has a density of 256 kgm⁻³, what fraction of the body will be submerged when floating g

Source: JAMB · 2023

If an object has a density of 256 kgm⁻³, what fraction of the body will be submerged when floating gently in salt water with a density of 1024 kgm⁻³?

  1. 2/3
  2. 1/4 ✓
  3. 4/5
  4. 1/8
Explanation

A floating object displaces its own weight of liquid. So the fraction submerged = density of object ÷ density of liquid.

Fraction = 256 ÷ 1024 = 1/4.

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