The density of a fish tank is $0.3 \frac{\text { fish }}{\text { feet }^3}$. There are 15 fish in the tank. What is the volume of the tank?
A. $5 ft ^3$
B. $45 ft ^3$
C. $50 ft ^3$
D. $90 ft ^3$
Answer (1)
The problem provides the density of fish in a tank and the number of fish.
We use the formula: Density = Volume Number of Fish .
Rearrange the formula to solve for volume: Volume = Density Number of Fish .
Substitute the given values and calculate: Volume = 0.3 15 = 50 feet 3 .
Explanation
Understanding the Problem We are given the density of a fish tank and the number of fish in it. We need to find the volume of the tank. The density is given as 0.3 feet 3 fish , and the number of fish is 15.
Setting up the Equation We know that density is defined as the number of fish divided by the volume of the tank. So, we have the formula: Density = Volume Number of Fish We can rearrange this formula to solve for the volume: Volume = Density Number of Fish
Plugging in the Values Now, we can plug in the given values into the formula: Volume = 0.3 feet 3 fish 15 fish
Calculating the Volume To calculate the volume, we divide 15 by 0.3: Volume = 0.3 15 = 50 feet 3
Final Answer Therefore, the volume of the fish tank is 50 feet 3 .
Examples
Understanding the volume of a fish tank based on its density and the number of fish is similar to calculating the size of a crowd. If you know the density of people in an area (e.g., 2 people per square meter) and the total number of people, you can estimate the area they occupy. This principle applies to urban planning, event management, and even estimating the size of animal populations in a given habitat. Knowing the relationship between density, quantity, and volume helps in making informed decisions in various real-world scenarios.
