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

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

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.

Answer 2

Answer:
`30\ ft.^3`

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}=(12)/(0.4)\\\\\Rightarrow\ \text{Volume of the tank}=30\ ft.^3`

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