Final answer:
The volume of a cubical water tank can be found by taking the cube root of its capacity, which is 216,000 cubic cm.
Step-by-step explanation:
The volume of a cubical water tank is given as 216,000 cubic cm.
Since it is a cube, all sides of the tank are equal in length. Let's assume the length of one side of the cube is 'a' cm.
So, the volume of the cube would be a * a * a = a^3.
Given, a^3 = 216,000 cubic cm.
To find the value of 'a', we can take the cube root of both sides of the equation. So, a = ∛216,000 = 60 cm.
The volume of the tank is a^3 = 603 = 216,000 cubic cm.
Therefore, the correct option is c. 216,000 cubic cm.