Question

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?

Answer 1

`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.