MHT CET 2026 Mathematics question

MathematicsApplication of DerivativesMHT CET 2026

A tank with a rectangular base and rectangular sides, open at the top is made. Depth of the tank is 4 m and its volume is 36 cubic meters. For making a tank cost of base material used is Rs. 100 per sq. meter and that of sides is Rs. 50 per sq. meter. Then minimum cost of tank is …

Answer: (C)

Solution

Let the base be and depth m. Volume: , so . Base area is m, costing . The four sides have total area , costing . Total cost with : .

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Question ID VK-101091