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A square pool has a volume 4,086 cubic feet and depth 9 feet. A couple builds a fence 3.5 feet high around the pool. How many square feet of fencing surround the pool?

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Answer:

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....

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

User Nikola Irinchev
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