Faraday’s second law of electrolysis: "The mass of a substance deposited or liberated at an electrode is directly proportional to the quantity of electricity passed through the electrolyte."
At the anode: 2Cl− → Cl2(g) + 2e− Chlorine gas (Cl2) is evolved, and the solution near the anode becomes more acidic (pH decreases).
At the cathode: 2H2O + 2e− → H2(g) + 2OH− Hydrogen gas (H2) is evolved, and the solution near the cathode becomes more alkaline (pH increases).


A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).
