Question

The length,breadth and height of cuboid are in the ratio 5:3:2 if its volume is 1078.11m 3. Find its dimensions

Answer 1

ratio of length, breadth, height =5:3:2
let l= 5x m
b=3x m
h= 2x m
volume = 1078.11 m3
lbh=1078.11
5x*3x*2x= 1078.11
30x^3=1078.11
x^3=1078.11/30
x^3=35.937
x^3=3.3×3.3×3.3
therefore
x=3.3
l=5x =5*3.3=16.5 m
b = 3x =3*3.3=9.9 m
h = 2x =2*3.3=6.6 m