A box made of sheet metal costs Rs 1620 at Rs 30 per square metre. If the box is 5 m long and 3 m wide, find its height.

Given,


Total cost of box made of sheet metal = Rs. 1620


Cost of per square meter metal = Rs. 30


Area of box = = 54 m2


Dimensions of box = 5m × 3m × height


Let height of box = h meter


Total surface area of sheet = 2 (lb + bh + hl)


= 54 = 2 (5 × 3 + 3h + 5h)


= = 15 + 8h


= 8h = 27 – 15 = 12


= h =


Height of box = 1.5 meter.


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