Challenge A square pool has volume 3,464 cubic feet and depth 8 feet. A couple builds a fence 3.5 feet high around the pool. How many square foot of fencing surround the pool?
The couple needs
square feet of fencing.
(Round to the nearest tenth as needed.)

Are they going to build the fence on the edge of the pool?  How are they going to get into the pool?  This question is illogical, however

Step-by-step explanation:

A square pool is also wierd.

Volume Pool = side × side × depth

Volume Pool / depth = side²                 solve for side

side² = Volume Pool / depth

the fence is 3.5 feet tall

Fencing sqft one side = side × fence height  for ONE side

Total Fencing = 4 × Fencing sqft one side

side² = 3464 ft³ / 8 ft

         = 422 ft²

side  =  √422 ft²

        =  20.54 ft

Fencing area one side  = 20.54 × 3.5

       = 71.899 ft²

Total fencing = 4× 71.899 ft²

      = 287.6 ft²      to the nearest tenth     <   FINAL ANSWER

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