The dimensions of a rectangular box are in the ratio of 2: 3:4 and the

1.	The dimensions of a rectangular box are in the ratio of 2: 3:4 and the difference between the costof covering it with a cloth at the rate of 10 and ? 11 per mbox13.isă1,300. Find the dimensions of thend 1 5 m deen is to be tiled. If each tile is
Answer» Let common multiple of 2:3:4 be x=> Breadth = 2x=> Length = 3x=> Height = 4x Surface area = 2(2x3x + 3x4x + 4x2x) = 2(6x²+12x²+8x²) = 52x² cm² As per question,=> Rs. [11(52x²)-10(52x²)] = Rs. 1300=> 1(52x²) = 1300=> x² = 1300/52 = 25=> x =5length= 25= 10cmbreadth= 35= 15height = 45= 20

The dimensions of a rectangular box are in the ratio of 2: 3:4 and the difference between the costof covering it with a cloth at the rate of 10 and ? 11 per mbox13.isă1,300. Find the dimensions of thend 1 5 m deen is to be tiled. If each tile is

Answer»

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. [11(52x²)-10(52x²)] = Rs. 1300=> 1(52x²) = 1300=> x² = 1300/52 = 25=> x =5length= 2*5= 10cmbreadth= 3*5= 15height = 4*5= 20