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Question
A tank open at the top is made of iron sheet 4 m wide. If the dimensions of the tank are 12 m × 8 m × 6 m, find the cost of iron sheet at Rs 17.50 per metre.
Solution
\[\text { An open iron tank of dimensions 12 m } \times 8 m \times 6 m is \text { to be made . }\]
\[\text { Surface area of the open tank = (area of the base) + (total area of the 4 walls) }\]
\[ = (12 \times 8) + 2 \times (8 \times 6 + 12 \times 6)\]
\[ = (96) + 2 \times (48 + 72)\]
\[ = 336 m^2 \]
\[\text { Also, it is given that the cost of the iron sheet that is 4 m wide is Rs 17 . 50 per metre } . \]
\[\text { i . e . , the area of the iron sheet = 1 m }\times 4 m = 4 m^2 \]
\[\text { So, the cost of 4 }m^2 \text { of iron sheet = Rs 17 . 50 }\]
\[ \therefore \text { The cost of iron sheet required to an iron tank of surface area 336 } m^2 = 336 \times \frac{17 . 50}{4} = Rs 1470\]
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