Question

Vicente has a prism-like water tank whose base area is 1.21.21, point, 2 square meters. He bought 666 goldfish at the store, and the store owner told him to make sure their density in the tank isn't more than 444 fish per cubic meter. Vicente needs to figure out how high to fill the water in the tank.
What is the lowest possible height so the fish aren't too crowded?

Answer 1

We have been given that Vicente has a prism-like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store, and the store owner told him to make sure their density in the tank isn't more than 4 fish per cubic meter.

First of all, we will find volume of water needed for 6 fishes using proportion.

$\frac{\text{Volume of water}}{\text{Number of fish}}=\frac{1\text{ m}^3}{4}$

$\frac{\text{Volume of water}}{6}=\frac{1\text{ m}^3}{4}$

$\frac{\text{Volume of water}}{6}\cdot 6=\frac{1\text{ m}^3}{4}\cdot 6$

$\text{Volume of water}=1.5\text{ m}^3$

We know that volume of prism is base area times height.

$\text{Volume}=\text{Base area}\times \text{Height}$

$1.5\text{ m}^3=1.2\text{ m}^2\times \text{Height}$

$\frac{1.5\text{ m}^3}{1.2\text{ m}^2}=\frac{1.2\text{ m}^2\times \text{Height}}{1.2\text{ m}^2}$

$1.25\text{ m}=\text{Height}$

Therefore, the lowest possible height would be 1.25 meters.

Answer 2

Answer:

1.25

Step-by-step explanation:

got this from Khan Academy and ApusApus