The volume of a fish tank is 40 cubic feet. If the density is [tex]$0.4 \frac{\text { fish }}{\text { feet }^3}$[/tex], how many fish are in the tank?
Answer (1)
The problem provides the volume of a fish tank and the density of fish.
We calculate the total number of fish by multiplying the volume by the density.
Perform the calculation: 40 × 0.4 = 16 .
The final answer is 16 .
Explanation
Understanding the Problem We are given the volume of a fish tank and the density of fish in the tank. We need to find the total number of fish in the tank.
Setting up the Calculation The volume of the fish tank is 40 cubic feet, and the density of fish is 0.4 feet 3 fish . To find the number of fish, we multiply the volume by the density.
Performing the Calculation Number of fish = Volume × Density Number of fish = 40 feet 3 × 0.4 feet 3 fish
Calculating the Result Number of fish = 40 × 0.4 = 16
Stating the Answer Therefore, there are 16 fish in the tank.
Examples
Imagine you're planning a community fish pond and need to estimate how many fish it can comfortably hold. Knowing the volume of the pond (in cubic feet) and the recommended fish density (fish per cubic foot) allows you to calculate the approximate number of fish the pond can support without overcrowding. For example, if your pond has a volume of 100 cubic feet and you aim for a density of 0.2 fish per cubic foot, you can estimate that the pond can hold around 100 × 0.2 = 20 fish. This calculation helps ensure a healthy environment for the fish and prevents ecological imbalances.
