The dimensions of a rectangular box are in a ratio 2:3:4 and the difference between the costof covering it with sheet of paper at the rate of Rs. 4 and Rs. 4.50 per sq. m. Is Rs. 416. Find the dimensions of the box.
Pls explain me this asap!!
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Let the coefficient be x.
Dimensions Will be 2x,3x,4x.
Now, the area to be covered is total surface area
2(2x*3x+3x*4x+2x*4x) = 40x^2.
As per the question,
40x^2(4.50-4) = 416
40x^2 * 0.50 = 416
20x^2 = 416
x^2 = 416/20 = 20.8
x = 4.56
Thus, Dimensions will be
9.12 ,13.68 and 18.24 m.
Dimensions Will be 2x,3x,4x.
Now, the area to be covered is total surface area
2(2x*3x+3x*4x+2x*4x) = 40x^2.
As per the question,
40x^2(4.50-4) = 416
40x^2 * 0.50 = 416
20x^2 = 416
x^2 = 416/20 = 20.8
x = 4.56
Thus, Dimensions will be
9.12 ,13.68 and 18.24 m.
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