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  • The outer dimensions of a closed wooden box are 10 cm by 8cm by 7cm . Thickness of the wood is 1cm . Find the total cost of wood required to make box if 1 cm^3 of wood costs Rs 2 .

The outer dimensions of a closed wooden box are 10 cm by 8cm by 7cm . Thickness of the wood is 1cm . Find the total cost of wood required to make box if 1 cm^3 of wood costs Rs 2 .

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 Solution :  The external dimension of the box are :  

                 Length = 10 cm , Breadth = 8 cm , Height = 7 cm . 

herefore              External volume of the box =     (10 imes 8 imes 7)cm^3=560cm^3

                 Thickness of the wood = 1 cm 

herefore              Internal length = 10-2=8cm    ,    Internal  breadth =  8-2=6cm

                Internal height =  7-2=5cm

herefore            Internal volume    = (8 imes 6 imes 5)cm^3= 240cm^3

              Volume of the wood = External volume  -  Internal volume 

                                               =   (560-240)cm^3=320 cm^3

Hence , total cost of wood required to make box   =   Rs (320 imes 2)   = Rs640 

Posted by

Deependra Verma

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