First, we have to ascertain the volume of one single marble. We know that the volume of a single marble is 60 cubic centimeters or cm^3.
Next, we need to determine the total number of marbles being dropped into the fish tank. This number is 480.
Now, we know that when an object is immersed in a fluid, it displaces a volume of fluid equivalent to its own volume. This is known as the principle of displacement. Therefore, dropping one marble in the tank will cause an overflow of water equal to the marble's volume.
To find out the total volume of water that would overflow when 480 marbles are dropped into the fish tank, we multiply the volume of a single marble by the number of marbles.
Therefore, the total volume displaced or the volume of water that would overflow is 60 cm^3 (the volume of one marble) multiplied by 480 (the number of marbles), which equals 28800 cm^3.
So, if 480 marbles each of 60 cm^3 volume are dropped into a fish tank, the volume of water that would overflow would be 28800 cm^3.