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.