SOLUTION: an aquarium approximates a cube with surface area of 1014 square feet water was poured into the empty aquarium at a rate of 6 cubic feet per minute to the nearest minute how long d

Algebra ->  Volume -> SOLUTION: an aquarium approximates a cube with surface area of 1014 square feet water was poured into the empty aquarium at a rate of 6 cubic feet per minute to the nearest minute how long d      Log On


   

Question 1189552: an aquarium approximates a cube with surface area of 1014 square feet water was poured into the empty aquarium at a rate of 6 cubic feet per minute to the nearest minute how long did it take to fill
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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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%2F5 = 202.8 square feet,

and the edge length is  sqrt%28202.8%29 = 14.24 feet (approximately; rounded).


Thus the volume of the cuboid aquarium is  V = 14.24%5E3 = 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%2F6 = 481 minutes.    ANSWER

Solved.