Question 966858
{{{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/2}}}<-->{{{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*W*H}}} , so {{{L*W*H=1000}}} .
substituting {{{W=2H}}} and {{{L=4H}}} , we get
{{{(4H)*(2H)*H=1000}}}-->{{{8H^3=1000}}}-->{{{H^3=1000/8}}}-->{{{H^3=125}}}-->{{{H=root(3,125)}}}-->{{{H=5}}} .
So {{{system(H=5,L=4H)}}}--->{{{L=4*5}}}--->{{{highlight(L=20)}}}