Answer:
A. 2 and 3
Explanation:
Density (ρ) is equal to mass (m) divided by volume (V).
ρ = m / V
In order for two objects to have the same density, their masses and volumes must be proportionate.
ρ₁ = ρ₂
m₁ / V₁ = m₂ / V₂
Objects 2 and 4 have the same volume but different masses, so they cannot have the same density. Similarly, objects 3 and 4 have the same mass but different volumes, so they cannot have the same density. So we can eliminate options C and D.
Object 1 has high mass and low volume, so it has a high density. Object 4 has a low mass and a large volume, so it has a low density. The densities are different, so we can eliminate option B.
Object 3 has a low mass and a low volume. Object 2 has a high mass and a high volume. The ratios are proportionate, so object 2 and 3 have the same density. Answer is option A.
