The width of the tank, which has a length 4 feet longer than its width, the height is 2 feet more than the width which is three feet.
The Hit and Trial Method is a very useful to solve the roots in a equation. In this , substituting different values of the variable and checking the equality of LHS and RHS is the trial and error method.
We have a tank ( cuboid shape) with
length, width and height and volume of tank is 105 cubic feet. Let length , width and height of tank be "l" feet , "w " feet and "h" feet.
lenght, l = w + 4
height, h = w + 2
Volume of tank , V = l× h × w
=> (w + 4 )×w × (w + 2) = 105
=> w ( w² + 6w + 8) = 105
=> w³ + 6 w²+ 8 w = 105
Using the hit and trial method to solve the above cubic equation in one variable, w.
We get, w = 3
So, the required width is 3 feet .
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