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in Surface Area and Volume of Cube and Cuboid by (35.3k points)
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A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine

(i) the area of the sheet required for making the box.

(ii) the cost of sheet for it, if a sheet measuring 1 m2 costs Rs. 20.

1 Answer

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by (34.1k points)
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Best answer

Here we are given that

(i) Length of plastic box (l) = 1.5 m

Breadth of plastic box (b) = 1.25 m

Height of plastic box (h) = 65 cm 

= 0.65 m

Since box is open at the top. 

Therefore total

surface area  of the plastic box (open at the top)

= lb + 2bh + 2hl

= [1.5 x 1.25 + 2(1.25 x 0.65 + 0.65 x 1.5)] m2

= [1.875 + 2(0.8125 + 0.975)] m2

= [1.875 + 2 x 1.7875] m2

= [1.875 + 3.575] m2

= 5.450 m2

Hence, area of the plastic sheet required for making the box is 5.450 m2.

(ii) Cost of 1 m2 plastic sheet = Rs. 20

Cost of 5.45 m2 plastic sheet 

= Rs. 5.540 x 20

 = Rs. 109

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