One aquarium filter will clean 800 ft^3 of water. How many filters are needed to clean the water in an aquarium that is 25.5 ft long, 20 ft wide, and 12.4 ft deep?

1 Answer
Jun 5, 2018

7 filters

Explanation:

First, we have to figure out how much water is inside this aquarium.
We know that the volume formula is V=l*w*h, where V is the total volume,
l is the length of the prism (an aquarium in this case)
w is the width of the prism, and
h is the height of the prism. (Height and depth can be considered to be the same in this scenario.)

Knowing this, we can plug in the given values:

V=22.5"ft"*20"ft"*12.4"ft"
V=5580"ft"^3

Now, we can divide the volume of the aquarium by the volume each filter can process:

(5580cancel("ft"^3))/1*(1" filter")/(800cancel("ft"^3))=6.975" filters"

Logically, you wouldn't use 0.975 of a filter, so round up to get your final answer of 7 filters.