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 (2)
Multiply the volume of the fish tank by the density of fish.
Volume = 40 cubic feet, Density = 0.4 fish per cubic foot.
Calculate: 40 × 0.4 = 16 .
The number of fish in the tank 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 total number of fish, we multiply the volume by the density.
Performing the Calculation Number of fish = Volume × Density. So, we have: Number of fish = 40 feet 3 × 0.4 feet 3 fish
Finding the Answer Multiplying the values, we get: Number of fish = 40 × 0.4 = 16
Stating the Conclusion Therefore, there are 16 fish in the tank.
Examples
Imagine you're planning a community aquarium and need to estimate how many fish you can comfortably house. Knowing the tank's volume and the recommended fish density (number of fish per cubic foot) helps you calculate the appropriate number of fish to maintain a healthy environment. This calculation ensures the fish have enough space, preventing overcrowding and promoting their well-being. Understanding density and volume relationships is crucial in various real-world scenarios, from urban planning to resource management, ensuring efficient use of space and resources.
To find the number of fish in the tank, multiply the volume of the tank (40 cubic feet) by the density of fish (0.4 fish per cubic foot), which gives us 16 fish in total. Therefore, there are 16 fish in the tank. This calculation ensures a healthy living environment for the fish.
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