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Question

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

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Solution

Length of the box =5 m
Breadth of the box =3 m

Area of the sheet required = total costcost per metre square

Let h m be the height of the box.
Then area of the sheet = total surface area of the box
=2(lb+lh +bh) m2=2(5×3+5×h+3×h) m2=2(15+8h) =( 30+16h )m2

Now, 30+16h=648012030+16h=5416h = 24h= 1.5 m

∴ The height of the box is 1.5 m.

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