To find the volume of the fish tank, we need to use the density of the fish and the number of fish present in the tank.
Given:
- Density \( d = 0.4 \) fish/ft³
- Number of fish \( N = 12 \) fish
We can use the formula for density:
\[ d = \frac{N}{V} \]
where \( V \) is the volume of the tank. Rearranging the formula to solve for \( V \):
\[ V = \frac{N}{d} \]
Substituting in the known values:
\[ V = \frac{12 \text{ fish}}{0.4 \text{ fish/ft}^3} = \frac{12}{0.4} = 30 \text{ ft}^3 \]
Therefore, the volume of the tank is 30 ft³.