Question

the internal dimensions of a hall are in the ratio 4 : 5 :3 . if the volume of the room is 2835 M cube then find the length of the hall

please do step by step

Answer 1

let the length be 4x ,breadth 5x , height 3x .
so according to the question .
volume=l×b×h
=4x×5x×3x×=2835m cube
60x=2835m cube .
x=2835/60=47.25
length =4x=47.25×4=189

Answer 2

let length, breath and height is 5x , 4x and 3x

then , volume = l× b ×h

=> 4x × 5x ×3x = 2835

=>60 x³ = 2835

=> x³ = 2835/60

=> x³ = 47.25

=> x = (47.25)⅓

=> x = approx 2(6)⅓

so, length = 4x = 4×2(6)⅓
length= 8 × (6)⅓
length= 8× 1.81=14.41 m