A tank with a lid is 2.5 m long, 2 m wide and 2.4 m high. How much metal sheet was required for constructing the tank? What was the cost of constructing it as Rs 10 per sq m? How many cu m of water will the tank hold?

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Solution

Length (l) of the tank = 2.5 m
Breadth (b) of the tank = 2 m
Height (h) of the tank = 2.4 m
Total surface area of the tank = 2 (l × b + b × h + h × l)
= 2 (2.5 × 2 + 2 × 2.4 + 2.4 × 2.5) m²
= 2 (5 + 4.8 + 6) m²
= 2 (9.8 + 6) m²
= 2 (15.8) m²
= 31.6 m²
∴ 31.6 m² of metal sheet was required for constructing the tank.
Cost of constructing 1 m² of the tank = Rs 10
Cost of constructing 31.6 m² of the tank = Rs 10 × 31.6 = Rs 316
Volume of the tank = length × breadth × height
= 2.5 × 2 × 2.4 m³
= 12 m³
∴ The tank will hold 12 m³ of water.

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