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  • A plastic box 1.5 m long , 1.25m wide and 65cm deep is to be made . it is to be open at the top . ignoring the thickness of the plastic sheet , determine : 1. The area of the sheet required for making the box . 2. The cost of the sheet for it , if a she

A plastic box 1.5 m long , 1.25m wide and 65cm deep is to be made . it is to be open at the top . ignoring the thickness of the plastic sheet , determine : 1. The area of the sheet required for making the box . 2. The cost of the sheet for it , if a sheet measuring 1 m^2 costs Rs20.

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Solution :   1 . We have , 

                   l= Length of plastic box = 1.5 m 

                   b= Breadth of plastic box =1.25 m

                  h= Height of plastic box =65cm=0.65m

Total surface area of the plastic  box =lb+2(bh+lh)

                                                           =left 1.5 imes 1.245+2(1.25 imes0.65+0.65 imes1.5) ight m^2

                                                            =(1.875+3.575)m^2=5.45m^2

Hence , area of the sheet required for making the box is 5.45m^2 

 

2. Since 1m^2 sheet cost Rs 20 . therefore,

            cost of the required for making the box = Area of the sheet  imes rate per sq. meter 

                                                                            = Rs(5.45 imes20)=Rs109

Posted by

Deependra Verma

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