CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The dimensions of a reactangular box are in the ratio 2:3:4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m2 is Rs. 1,248. Find the dimensions of the box.

Open in App
Solution

Ratio in the dimensions of a box
= 2:3:4
Difference in total cost= Rs 1,248
Difference in rates = Rs. 9.50-rs.8 =Rs. 1.50
Let length (l) = 2x
Then breadth (b) = 3x
and height (h) = 4x
\therefore Surface area = 2(l×b+b×h+h×l)
= 2(2x×3x+3x×4x+4x×2x)
= 2(6x2+12x2+8x2)=2×26x2=52x2
First rate of paper = Rs. 9.50 per m2
and second rate = 8.00 per m2
First cost = Rs. 52x2×9.50
and second cost = Rs 52x2× 8
52x2×9.5052x2× 8
52x2 (9.50-8)= 1248
52x2 (1.50) = 1248
x2=124852×1.50=1248×10052×150=16
x=164
Length = 2x= 2× 4 = 8 m
Breadth = 3x=3×4 = 12 m
Height = 4x= 4×4 = 16 m


flag
Suggest Corrections
thumbs-up
1
BNAT
mid-banner-image