Open tank of given volume: dimensions for the least surface area
This type of question, asked 4 times: 15 May 2023 S2, 10 May 2024 S1, 22 Apr 2025 S2, 16 Apr 2026 S2. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
15 May 2023 S2
105An open tank with a square bottom, to contain 4000 cubic cm. of liquid, is to be constructed. The dimensions of the tank, so that the surface area of the tank is minimum, areTap an option to check your answer.
Question 2
10 May 2024 S1
114Open metallic tank: square base, vertical sides, volume 500 m. Dimensions for minimum metal area areTap an option to check your answer.
Question 3
22 Apr 2025 S2
140An open tank with a square bottom is to contain 4000 cubic cm. of liquid. The dimensions of the tank so that the surface area of the tank is minimum, isTap an option to check your answer.
Question 4
16 Apr 2026 S2
74A cylindrical tank without a top lid is being manufactured to hold a fixed volume of cubic cm. The minimum surface area required to construct this tank is ............square cmTap an option to check your answer.