Question

A room has the length, breath and height are in the ratio of 3:2:1 the capacity is 3072cu. M then find its breadth

Answer 1

Given , ratio of length(l) ,breadth (b) and height
of a room (h ) = 3 : 2 : 1

let the constant ratio be 'x'

let ,length (l) = 3 x , breadth (b) = 2 x , height (h) = x

capacity of room( volume )=3072 m^3

l × b × h = 3072

3 x × 2 x × x = 3072

6 x^3 = 3072 => x^3 = 512

x = cube√512 => x = 8 m

therefore ,breadth of room (b)

= 2 x = 2 × 8 = 16 m

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Your Answer : breadth = 16 m
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