Problem

The number of tropical fish that an aquarium can hold depends on the volume of the fish tank. The interior dimensions of the fish tank below are $60 \mathrm{~cm}, 50 \mathrm{~cm}$, and $50 \mathrm{~cm}$. Each fish requires 10,000 cubic centimeters of water. How many tropical fish will this fish tank hold?

Solution

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.

From Solvely APP
Source: https://solvelyapp.com/problems/CeP33B1Io0/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download