A box made of sheet metal costs ₹ 6480 at ₹ 120 per square metre.

1.	A box made of sheet metal costs ₹ 6480 at ₹ 120 per square metre. If the box is 5m long and 3m wide, find its height.
Answer» 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.

A box made of sheet metal costs ₹ 6480 at ₹ 120 per square metre. If the box is 5m long and 3m wide, find its height.

Answer»

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.