The height of container is 8 feet
<em><u>Solution:</u></em>
Let "w" be the width of container
Let "l" be the length of container
Let "h" be the height of container
The width of a container is 5 feet less than its height
Therefore,
width = height - 5
w = h - 5 ------ eqn 1
Its length is 1 foot longer than its height
length = 1 + height
l = 1 + h ---------- eqn 2
<em><u>The volume of container is given as:</u></em>
Given that volume of the container is 216 cubic feet
Substitute eqn 1 and eqn 2 in above formula
Solve by factoring
Use the zero factor principle
If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)
Therefore,
Also,
Solve by quadratic equation formula
Therefore, on solving we get,
<em><u>Thus solutions of "h" are:</u></em>
h = 8
"h" cannot be a imaginary value
Thus the solution is h = 8
Thus the height of container is 8 feet