SOLUTION: an aquarium approximates a cube with surface area 1014 aquare feet water was poured into the empty aquarium at a rate of 66 cubic feet per minute to tge nearest minute how long did

Algebra ->  Volume -> SOLUTION: an aquarium approximates a cube with surface area 1014 aquare feet water was poured into the empty aquarium at a rate of 66 cubic feet per minute to tge nearest minute how long did      Log On


   

Question 1062124: an aquarium approximates a cube with surface area 1014 aquare feet water was poured into the empty aquarium at a rate of 66 cubic feet per minute to tge nearest minute how long did it take to fill the aquarium
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Surface area of a cube is +6%2Aw%5E2+ where w=length of one its sides
+6%2Aw%5E2+=+1014+sq+ft+
+++++w+=+sqrt%281014%2F6%29+=+13+ft+
--
++V++=+w%5E3+=+13%5E3+=+2197+ft%5E3+
if 66 ft^3 per minute is poured in, then it will take:
+2197+ft%5E3+%2F+66ft%5E3%2Fmin++=+33.28++ min
Rounding to the nearest minute, it will take +33+ min to fill the aquarium.