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 m^{2} is Rs. 1248. Find the dimensions of the box.

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 /m^{2}=

Cost of covering it with sheet of paper at rate Rs.8/m^{2} =

=

=

=

=

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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