A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2m and volume is \( 8m^3\) . If building of tank cost Rs. 70 per sq. metre for the base and Rs. 45 per sq. metre for sides, what is the cost of least expensive tank?
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ar of base of tank = vol. of tank ÷ height of tank
=8m³/2m
=4m²
cost of base = 4m² × ₹70/m²
= ₹280
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