Question

The dimensions of rectangular box are in ratio of 2:3:4 and difference between the cost of covering it with the sheet of paper at rate of 4 and 4.5 per m2 is 416. Find dimensions of box

Answer 1

Let common multiple of 2:3:4 be x
=> Breadth = 2x
=> Length = 3x
=> Height = 4x

Surface area = 2(2x*3x + 3x*4x + 4x*2x) = 2(6x²+12x²+8x²) = 52x² cm²

As per question,
=> Rs. [9.5(52x²)-8(52x²)] = Rs. 1248
=> 1.5(52x²) = 1248
=> x² = 1248/(1.5*52) = 16
=> x = √16 = 4

∴ Breadth = 2(4) = 8cm
∴ Length = 3(4) = 12cm
∴ Height = 4(4) = 16cm