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A cubodial tank open at the top is made of an iron sheet 4m wide. if the dimensions of the tank are 12m * 8m * 6m find the cost of an iron sheet required to make the tank at Rs.17.50 per metre.

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by gobargam

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by gobargam

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Breadth of the tank = B = 8m

Height of the tank = H = 6 m

Area of the Lateral surface = 2*(L + B)*H = 2*(12 + 8)*6 m^2 = 240 m^2

Area of the Base = L*B = 12*8 m^2 = 96 m^2

Total Surface Area of the open tank = (240 + 96) = 336 m^2 = Area of the iron sheet required = A

width of the iron sheet = W = 4 m

Length of iron sheet required = A / W = 336 / 4 m = 84 m

Cost of iron sheet per meter = Rs17.50

Cost of 84 m of iron sheet = Rs 17.50 * 84 = Rs 1470