Q. 19

The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m2 is Rs. 1248. Find the dimensions of the box.

Answer :

Given,


Ratio of dimensions of rectangular box = 2:3:4


Let length of box = 2x m


Let breadth = 3x m


Let height = 4x m


Area of sheet of paper required for covering it = total surface area of cuboid


=


Cost of covering it with sheet of paper at Rs.9.50 /m2=


Cost of covering it with sheet of paper at rate Rs.8/m2 =


=


=


=


=


So,


Length of box = 2x = 2×4 = 8 m


Breadth of box = 3x = 3×4 = 12 m


Height of box = 4x = 4×4 = 16 m


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