Question #66839

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Answer 1 · 2016-11-10T20:30:15

The water should be filled $1 1/2$ feet high to give 9 cubic feet of water in this aquarium.

The formula for volume or cubic space for a rectangular container is:

$V = l*w*h$ where $V$ is the total volume, $l$ is the length, $w$ is the width and $h$ is the height.

In this problem we are given the total volume, $V$ , as 9 cubic feet, the width, $w$ , as 2 feet and the length, $l$ , as 3 feet.

Substituting these know dimensions into the equation for volume gives:

$9 = 3 * 2 * h$

And solving for height while keeping the equation balanced gives:

$9 = 6*h$

$9/6 = (6*h)/6$

$h = 9/6$ feet high or $1 1/2$ feet high.