Question

the dimensions of a rectangular box are in the ratio 2:3:4 and difference between the cost of covering it with sheet of paper at the rates of 8 Rs and 9.50 Rs per metre square is 1248 Rs. find the dimensions of the box.​

Answer 1

Step-by-step explanation:

let the common ratio = x

length=2x

breadth=3x

height=4x

areas

length×breadth = 2x × 3x = 6x²

breadth×height = 3x × 4x = 12x²

height×length = 4x × 2x = 8x²

surface area = 2( 6x²+12x²+8x²)

= 2× 26x²

=52x²

cost difference

(9.50-8) × 52x² = 1248

1.50×52x²= 1248

78x²=1248

x² =1248/78=16

$x = \sqrt{16 } = 4$

now,

length=2x=2×4=8m

breadth=3x=3×4=12m

height=4x=4×4=16m