Question

the Length breadth and height of a room are in the ratio 4 ratio 5 ratio 6 respectively if the room contains 9 60000000 CM of a find the dimensions of the room

Answer 1

4:5:6
length=4x
breadth=5x
height=6x
lbh=volume of cuboid
volume=960000000
4x×5x×6x=960000000
120x^3=960000000
x^3=8000000
x=
$\sqrt[3]{8000000}$
x=200
length=4x=800
breadth=5x=1000
height=6x= 1200

Answer 2

Answer

Volume=960000000

Volume of cuboid = lbh

4:5:6=lbh,let dimensions be a;4a,5a,6a

960000000=4a×5a×6a

960000000=120a^3

8000000=a^3. 6a=6×200=1200

a=200,4a=4×200=800;5a=5×200=1000