# Question #66839

Nov 10, 2016

The water should be filled $1 \frac{1}{2}$ feet high to give 9 cubic feet of water in this aquarium.

#### Explanation:

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

$V = l \cdot w \cdot h$ 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:

$9 = 3 \cdot 2 \cdot h$

And solving for height while keeping the equation balanced gives:

$9 = 6 \cdot h$

$\frac{9}{6} = \frac{6 \cdot h}{6}$

$h = \frac{9}{6}$ feet high or $1 \frac{1}{2}$ feet high.