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A box made of sheet metal costs ₹ 6480 at ₹ 120 per square meter. If the box is 5m long and 3m wide, find its height. Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

We know that

Area of sheet metal = Total cost/ Cost per m2

By substituting the values

Area of sheet metal = 6480/120

So we get

Area of sheet metal = 54 m2

So we get

Area of sheet metal = 2 (lb + bh + hl)

By substituting the values

54 = 2 (5 × 3 + 3 × h + h × 5)

On further calculation

27 = 15 + 3h + 5h

So we get

8h = 12

By division

h = 1.5m

Therefore, the height of sheet metal is 1.5m.

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