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?

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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?

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Answer 1 · 2018-06-05T02:54:21

$7$ $7$ filters

Explanation:

First, we have to figure out how much water is inside this aquarium.
We know that the volume formula is $V = l \cdot w \cdot h$ $V=l*w*h$ , where $V$ $V$ is the total volume,
$l$ $l$ is the length of the prism (an aquarium in this case)
$w$ $w$ is the width of the prism, and
$h$ $h$ 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:

$V = 22.5 ft \cdot 20 ft \cdot 12.4 ft$ $V=22.5"ft"*20"ft"*12.4"ft"$
$V = 5580 {ft}^{3}$ $V=5580"ft"^3$

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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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

Explanation:

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