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in Perimeter and Area by (46.9k points)
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An open box of length 1.5 m, breadth 1 m, and height 1 m is to be made for use on a trolley for carrying garden waste. How much sheet metal will be required to make this box? The inside and outside surface of the box is to be painted with rust proof paint. At a rate of Rs 150 per sq. m, how much will it cost to paint the box?

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by (47.6k points)
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Best answer

Length of the box (l) = 1.5 m, breadth (b) = 1 m, height (h) = 1 m 

Since, the box is open at top, 

∴ Sheet required to make the box = total surface area of the box – area of the top

= 2 (lb + bh + lh) – lb 

= 2lb + 2bh + 2lh – lb 

= lb + 2bh + 2lh 

= 1.5 × 1 + 2 × 1 × 1 + 2 × 1.5 × 1 

= 1.5 + 2 + 3 

= 6.5 sq. m. 

Since the inside and outside surface of the box are to be painted.

∴ Area to be painted = 2 × Area of the box = 2 × 6.5 = 13 sq. m. 

Total cost of painting = area to be painted × rate per sq. m. 

= 13 × 150 

= Rs 1950 

∴ 6.5 sq. m. sheet of metal will be required and the cost of painting the box will be Rs 1950.

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