Cube A floats in a liquid with one–third of its volume above the surface
PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids
Problem
Cube A floats in a liquid with one–third of its volume above the surface, while cube B floats in the same liquid with one–quarter of its volume above the surface. Which statement about the densities of the two cubes is most accurate?
(a) Cube A has the higher density because the smaller submerged fraction corresponds to a larger density ratio.
(b) Cube A and cube B have the same density because objects that float in the same liquid must have equal densities.
(c) Cube A has the lower density because the smaller submerged fraction corresponds to a smaller density ratio.
(d) Cube A has the higher density because the larger above–surface fraction means a greater amount of weight must be supported.