MHT CET 2025 Mathematics question

Mathematics Application of Derivatives MHT CET 2025

An 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, is

(A)side = 20 cm, height = 10 cmCorrect
(B)side = 10 cm, height = 20 cm
(C)side = 10 cm, height = 40 cm
(D)side = 20 cm, height = 05 cm

Answer: (A)

Solution

Let the side be x and height h: volume . The open tank has a base and four sides: . , and

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Question ID VK-102142