O Levels Physics (5054)•5054/11/M/J/24

Explanation
Density scales inversely with volume for equal mass Steps:
- Density ρ = mass m / volume V.
- Side of Y is s, so side of X is 2s.
- Volume of Y: V_Y = s³.
- Volume of X: V_X = (2s)³ = 8s³.
- Ratio ρ_X / ρ_Y = (m / V_X) / (m / V_Y) = V_Y / V_X = s³ / 8s³ = 1/8 = 0.125.
Why A is correct:
- Density is mass over volume; with equal mass, larger volume of X (8 times Y's) means ρ_X is 1/8 of ρ_Y.
Why the others are wrong:
- B: Assumes equal densities, ignoring volume difference.
- C: Matches linear scaling (side ratio 2), but density uses cubic scaling.
- D: Inverse ratio, as if comparing Y to X.
Final answer: A
Topic: Density
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