The density of a fish tank is 0.4fish over feet cubed. There are 12 fish in the tank. What is the volume of the tank?

3 ft3
30 ft3
48 ft3
96 ft3

1 answer

To find the volume of the fish tank, we can use the density of the fish and the number of fish in the tank.

Given:

  • Density of fish = 0.4 fish/ft³
  • Number of fish = 12 fish

We can use the formula for density:

\[ \text{Density} = \frac{\text{Number of Fish}}{\text{Volume}} \]

Rearranging this formula to solve for volume gives:

\[ \text{Volume} = \frac{\text{Number of Fish}}{\text{Density}} \]

Substituting the values:

\[ \text{Volume} = \frac{12 \text{ fish}}{0.4 \text{ fish/ft}^3} \]

Calculating this:

\[ \text{Volume} = 30 \text{ ft}^3 \]

Therefore, the volume of the tank is 30 ft³.