The figure below shows a rectangular sheet of metal whose length is twice its width. An open rectangular tank is made by cutting equal squares of...

      

The figure below shows a rectangular sheet of metal whose length is twice its width.

An open rectangular tank is made by cutting equal squares of length 60 cm from each of its four corners and folding along the dotted lines shown in the figure above. Given that the capacity of the tank so formed is 1920 litres and the width of the metal sheet used was x cm;
a) (i) Express the volume of the tank formed in terms of x cm.
(ii) Hence or otherwise obtain the length and width of the sheet of metal that was used.
b) If the cost of the metal sheet per m² is Kshs 1000 and labour cost for making the tank is 300 per hour.
Find the selling price of the tank in order to make a 30% profit if it took 6 hours to make the tank.

  

Answers

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Cost = 9.68 x 1000
= sh 9680
Labour = 300 x 6 = sh 1800
Total cost = 9680 + 1800
= sh 11480
S.P. = 130/100 x sh.11480
= sh 14924

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Kavungya answered the question on November 13, 2019 at 11:21

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