Question

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?

Answer 1

Answer: $30\ ft.^3$

Step-by-step explanation:

Given: Density of tank = 0.4 fish over feet cubed.

We know that, $\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Therefore,

$\text{Volume of the tank}=\frac{\text{Mass}}{\text{Density}}\\\\\Rightarrow\ \text{Volume of the tank}=\frac{12}{0.4}\\\\\Rightarrow\ \text{Volume of the tank}=30\ ft.^3$

Hence, the volume of the tank = $30\ ft.^3$

Answer 2

Answer:

$\text{Volume}=30\text{ ft}^3$

Step-by-step explanation:

We have been given that the density of a fish tank is $\frac{0.4\text{ fish}}{\text{ ft}^3}$. There are 12 fish in the tank.

To find the volume of the tank we will use density formula.    

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Upon substituting our given values in above formula we will get,

$\frac{0.4\text{ fish}}{\text{ ft}^3}=\frac{12}{\text{Volume}}$

Cross multiplying our equation we will get,

$0.4\text{ fish}*\text{Volume}=12\text{ fish}*\text{ ft}^3$

$\frac{0.4\text{ fish}*\text{Volume}}{0.4\text{ fish}}=\frac{12\text{ fish}*\text{ ft}^3}{0.4\text{ fish}}$

$\text{Volume}=\frac{12\text{ ft}^3}{0.4}$

$\text{Volume}=30\text{ ft}^3$

Therefore, the volume of the fish tank is 30 cubic feet.