Final answer:
To calculate the smallest possible inside length of the cubical steel tank that will hold 125 L of water, convert 125 L to cubic meters and use the formula for the volume of a cube.
Step-by-step explanation:
To calculate the smallest possible inside length of the cubical steel tank, we need to convert 125 L to cubic meters.
Since 1 L is equal to 0.001 cubic meters, we can divide 125 by 1000 to get 0.125 cubic meters.
Since the tank is cubical, all sides have the same length.
Let's call this length x.
The volume of a cube is given by the formula x^3, so we need to solve for x in the equation x^3 = 0.125.
Taking the cube root of both sides, we find x = 0.5 meters.
Therefore, the smallest possible inside length of the tank is 0.5 meters.