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Open tank 4 m deep holding 36 cubic m, base and sides at different costs: least cost

The same question, asked 2 times: 12 May 2024 S2, 19 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    12 May 2024 S2

    134
    A tank with a rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 4 meter and volume is 36 cubic meters. If building of the tank costs ₹100 per square meter for the base and ₹50 per square meter for the sides, then the cost of least expensive tank is

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  2. Question 2

    19 Apr 2026 S1

    75
    A tank with a rectangular base and rectangular sides, open at the top is made. Depth of the tank is 44 m and its volume is 3636 cubic meters. For making a tank cost of base material used is Rs. 100100 per sq. meter and that of sides is Rs. 5050 per sq. meter. Then minimum cost of tank is ..............

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