UPSC NDA II 2024 General Ability Paper

Shown in the figure are two hollow cubes C₁ and C₂ of negligible mass partially filled (depicted by darkened area) with liquids of densities ρ₁ and ρ₂, respectively, floating in water (density ρ_w). The relationship between ρ₁, ρ₂ and ρ_w is