Question

three adjacent faces of a cuboid are in the ratio are in the ratio of 2:3:4 and its volume is 9000cm^3. find its dimensions.

Answer 1

let the constant ratio be 2x, 3x , 4x
so,
volume=l×b×h
=2x×3x×4x=9000
=24x^3=9000
=x^3=9000/24
=x^3=375
=x=7.21(approx)

so
length=2×7.2=14.4
breadth=21.6
height=28.8

Answer 2

Let the ratio be x 2x 3x 4x
2x+3x+4x=9000cm³
24x=9000cm³
X=1000cm³
Cm³=10
Cm=10
2*10=20
3*10=30
4*10=40

I hope this will help you