Question

The dimensions of a rectangular box are in ratio of 2:3:4 and the difference between the cost of covering it with a cloth at the rate of rupees 10 and rupees 11 per meter square is rupees 1,300 find the dimensions of the box

Answer 1

Answer:

Step-by-step explanation

Total surface area = 2 (2x×3x + 3x×4x + 4x×2x) = 2 (6x^2 + 12x^2 +8x^2) = 2×26x^2 = 52x^2

According to the problem,

52x^2×11 - 52x^2×10=1300

572x^2 - 520x^2=1300

52x^2=1300

x^2=1300/52

x^2=25

x=5

Dimension of the box,

2×5=10

3×5=15

4×5=20