The length,breadth and height of the rectangular box are in the ratio of 4:3:2. The total surface area of the box is 2548cm square. Find length,breadth and height?
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Refer to the attachments for process..
Length = 196 cm
Breadth=147 cm
Height = 98cm
Hope this helps :)
Length = 196 cm
Breadth=147 cm
Height = 98cm
Hope this helps :)
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Answered by
6
let l be the length, b be the width and h be the height of box.
l : b : h = 4: 3 : 2
let the constant ratio be 'x'
let the length of rectangle l = 4x
width b = 3x. , and height h = 2x
total surface area = 2548
2( l +b) ×h + 2lb = 2548
2( 4x + 3x) ×2x + 2(4x)(3x) = 2548
52x = 2548 => x = 49
Answer:
________
length l = 4x = 4(49) = 196cm
width b = 3x = 3(49) = 147cm
height h = 2x = 2(49) = 98cm
l : b : h = 4: 3 : 2
let the constant ratio be 'x'
let the length of rectangle l = 4x
width b = 3x. , and height h = 2x
total surface area = 2548
2( l +b) ×h + 2lb = 2548
2( 4x + 3x) ×2x + 2(4x)(3x) = 2548
52x = 2548 => x = 49
Answer:
________
length l = 4x = 4(49) = 196cm
width b = 3x = 3(49) = 147cm
height h = 2x = 2(49) = 98cm
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