The dimension of a rectangular box are in the ratio `2:3:4` and the difference between the cost of covering it with sheet of paper at the rate of `R s .4` and `R s .4.50` per square metre is `R s .416.` Find the dimensions of the box.

Explanation

`l:b:h=2:3:4`

`l=2x,b=3x,h=4x`

Surface area`=2(lb+bh+hl)`

`=2(2x*3x+3x*4x+2x*4x)`

`=2(6x^2+12x^2+8x^2)`

`=52x^2`

Rate->Rs 4`m^2`

Total cost=surface area*rate

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