FYKOS Year 27 Series 1 Problem 4 — cube in a pool · FYKOS 27 #27.1.4
Physics · mechanics
Problem
Large ice cube placed at the bottom of an empty pool starts to dissolve. Assume that the process is isotropic in the sense that the cube is geometrically similar at all times. What fraction of the cube needs to dissolve before it starts to float in the water? The surface area of the pool floor is S, and the length of an edge of the cube before it started disolving was a.