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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.
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 =
Length of box = 2x = 2×4 = 8 m
Breadth of box = 3x = 3×4 = 12 m
Height of box = 4x = 4×4 = 16 m