Question 1189552
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The given is the total area of 5 faces of a cube.


So, the area of one single face is  {{{1014/5}}} = 202.8 square feet,

and the edge length is  {{{sqrt(202.8)}}} = 14.24 feet (approximately; rounded).


Thus the volume of the cuboid aquarium is  V = {{{14.24^3}}} = 2888 cubic feet.


Then the time to pour this volume of water into the empty aquarium at a rate of 6 cubic feet per minute is


    time = {{{2888/6}}} = 481 minutes.    <U>ANSWER</U>
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Solved.