Step 1 :The interior dimensions of the fish tank are given as 60 cm, 50 cm, and 50 cm. Each fish requires 10,000 cubic centimeters of water.
Step 2 :First, we need to calculate the volume of the fish tank. The volume of a rectangular prism (like our fish tank) is given by the formula \(Volume = length \times width \times height\).
Step 3 :Substituting the given dimensions into the formula, we get \(Volume = 60cm \times 50cm \times 50cm = 150000 cubic cm\).
Step 4 :Next, we need to determine how many fish the tank can hold. Each fish requires 10,000 cubic cm of water.
Step 5 :So, the number of fish the tank can hold is given by the formula \(Number of fish = \frac{Volume of tank}{Volume per fish}\).
Step 6 :Substituting the calculated volume of the tank and the given volume per fish into the formula, we get \(Number of fish = \frac{150000}{10000} = 15\).
Step 7 :Final Answer: The fish tank can hold \(\boxed{15}\) tropical fish.