To determine the volume of the tank, we need to use the given density and the number of fish.
Here are the steps for solving the problem:
1. Understand the given information:
- The density of the fish tank is \(0.2 \frac{\text{fish}}{\text{ft}^3}\). This means that for every cubic foot of water, there are 0.2 fish.
- There are 8 fish in the tank.
2. Formulate the equation:
The formula to find the volume of the tank (V) when the number of fish (n) and the density (D) are given is:
[tex]\[
\text{Volume} = \frac{\text{number of fish}}{\text{density}}
\][/tex]
3. Substitute the given values into the equation:
- Number of fish, \( n = 8 \)
- Density, \( D = 0.2 \frac{\text{fish}}{\text{ft}^3} \)
So the equation becomes:
[tex]\[
\text{Volume} = \frac{8}{0.2}
\][/tex]
4. Perform the division:
[tex]\[
\frac{8}{0.2} = 40 \text{ ft}^3
\][/tex]
5. Conclusion:
Therefore, the volume of the tank is \( 40 \text{ ft}^3 \).
Answer: [tex]\( 40 \text{ ft}^3 \)[/tex].
