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ICSE Class 8 Answered

The length of a hall is twice it's height and breadth and height are in the ratio 4:3. If the volume of the hall is 576 cu.m find it's dimensions.
Asked by justjasonpong | 29 Dec, 2018, 07:15: PM
answered-by-expert Expert Answer
Let l is length, b is breadth and h is height of the hall.
 
ratio of length to height =      l:h  =  2:1 = 6:3
ratio of breadth to height =   b:h = 4:3  = 4:3
 
let us take a common factor x for length, breadth and height; hence length is 6x, breadth is 4x and height is 3x
 
hence volume  (6x)(4x)(3x) = 72x3 = 576 cu.m
or x3 = 8 or  x =2
 
hence length = 12 m,  breadth = 8 m and height = 6 m
Answered by Thiyagarajan K | 29 Dec, 2018, 08:44: PM

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