The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?

0.27 goldfish per cubic foot
3.75 goldfish per cubic foot
33 goldfish per cubic foot
57 goldfish per cubic foot

1 answer

To find the density of goldfish in the tank, you can use the formula for density, which is:

\[ \text{Density} = \frac{\text{Number of goldfish}}{\text{Volume of the tank}} \]

In this case, the number of goldfish is 12 and the volume of the tank is 45 cubic feet. Plugging in these values:

\[ \text{Density} = \frac{12 \text{ goldfish}}{45 \text{ cubic feet}} = \frac{12}{45} \]

Now, simplifying \(\frac{12}{45}\):

\[ \frac{12}{45} = \frac{4}{15} \approx 0.267 \]

So, the density is approximately 0.27 goldfish per cubic foot.

Thus, the correct answer is:

0.27 goldfish per cubic foot.