Question

The size of a rectangular box is 6: 4: 3. The price of decorating the total surface of the box with white paper is $ 2 / cm2, while the price of decorating with colored paper is $ 2.50 / cm2. If decorating with colored paper instead of white paper costs 1350 more, find the size of that box.

Answer 1

Answer:

2700cm^2

Step-by-step explanation:

Price of decorating with coloured paper is 1350 more than that of white paper

let the size of box be x cm^2

Therefore, as per given condition:

2.5x - 2x = 1350 (subtracting the cost)

0.5x = 1350

Thus, x = 2700 cm^2.

I hope that helps.

Answer 2

Step-by-step explanation:

x=5

2.5x-2x=1350

rectangular surface area= 2(lb+bh+hl)

=2(24x²+12x²+18x²)

= 108x²

108x²×⁵/2 - 108x² = 1350

108x²( 5/2- 2) = 1350

x²=25

[x= 5]

side L=6×5= 30cm

b= 4×5= 20cm

h= 3×5=15cm