Answer:
The smallest possible inside length of the tank is [tex]0.579[/tex] m.
Explanation:
As we know that
[tex]1 m^3 = 1000 L[/tex]
Thus, volume of [tex]195[/tex] liter tank is also equal to [tex]0.195[/tex] cubic meter
The volume of a cube is equal to [tex]x^3[/tex], where, x is the length of the side of the cube
With the give condition,
[tex]x^ 3 = 0.195[/tex]
Solving the above equation, we get -
[tex]x = (0.195)^{\frac{1}{3})}\\x = 0.579[/tex]
The smallest possible inside length of the tank is [tex]0.579[/tex] m.