Answer: (i) The volume of the tank is given as 343,000 cm³.
(ii) To calculate the height of the tank, we can use the formula for the volume of a cube:
Volume = Side length^3
Since the tank is cubical, all sides are equal in length. Let's denote the side length as "s".
According to the given information, the volume of the tank is 343,000 cm³. We can set up the equation:
s^3 = 343,000
To find the side length (s), we need to take the cube root of both sides of the equation:
s = ∛343,000
Using a calculator or a cube root function, we find that the cube root of 343,000 is approximately 70.42.
Therefore, the side length of the tank (and also its height) is approximately 70.42 cm.