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
Daniel M
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.

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