Question

Emma's Pet Shop sells aquariums in the shape of a right rectangular prism. Each aquarium measures 50 inches long, 20 inches wide, and 30 inches tall. The recommended density of each aquarium is no greater than 0.002 fish per cubic inch. Based on the recommended, what is the greatest number of fish that should be in one aquarium?A. 15 fishB. 60 fishC. 600 fishD. 15,000,000 fish

Answer 1

Given:

The dmensions of the right rectangular prism are given:

L=50 inches

W= 20 inches

H= 30 inches

Recommended density of each aquarium is no greater than 0.002 fish per cubic inch, that is, 0.002 fish per cubic is allowed.

Volume of right rectangular prism is given by the formula:

`\text{Volume}=L* W* H`

Substituting the values,we get:

`\begin{gathered} \text{Volume}=50*20*30 \\ =30000\text{ cubic inches} \end{gathered}`

Now, the greatest number of fish that should be in one aquarium is given as:

`Numberoffishes=\frac{\text{Volume}}{\text{Densityof fish per cubic inch}}`
`\begin{gathered} =(30000)/(0.002) \\ =15,000,000 \end{gathered}`

Thus, the number of fishes in one aquarium is 15,000,000.

Hence, option (d) is correct.