SOLUTION: A container has a length four times its height,which is half of its width.If its volume is 1000 cubic meters, what is the length of the container ?

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Question 966858: A container has a length four times its height,which is half of its width.If its volume is 1000 cubic meters, what is the length of the container ?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
H= height of the container, in meters.
L= length of the container, in meters.
W= width of the container, in meters.
"A container has a length four times its height" means L=4H .
The fact that the height of the containers "is half of its width" means that
H=W%2F2<-->2H=W
The container seems to be box-shaped (a right rectangular prism),
so its volume would be calculated by multiplying its three dimensions:
Volume=L%2AW%2AH , so L%2AW%2AH=1000 .
substituting W=2H and L=4H , we get
%284H%29%2A%282H%29%2AH=1000-->8H%5E3=1000-->H%5E3=1000%2F8-->H%5E3=125-->H=root%283%2C125%29-->H=5 .
So system%28H=5%2CL=4H%29--->L=4%2A5--->highlight%28L=20%29