Question

Dimensions of a closed wooden box are in the ratio 5 : 4 : 3. If cost of painting its outer surface
excluding the base at the rate of 5 per sq dm is * 9250, find the dimensions of the box.

please explain this question ​

Answer 1

The total surface area of a cuboid is 2(lb+lh+bh)

Let the dimensions be 5x, 4x and 3x

Total surface area X cost of painting per sq m = total cost

2(5x.4x+ 5x.3x+ 4x.3x) X 5 = 9250

47x²= 925

x²= 19.6

x= 4.4 approx

Dimensions are 22m, 17.6m and 13.2cm

hope it helps