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ARK Encounter 7th & 8th grade – mathematicallyYou have been tasked with finding the cost of replacing all the exteriorboards on the ark and waterproofing the outside of it. The replacementboards will be sixteen feet long and ten inches wide. The boards will haveno spacing between them. The boards will be attached using nails. Eachboard will have three nails on each end and two nails every twenty-fourinches. After the boards are attached, the entire exterior of the ark will besealed with waterproofing. For computing purposes, consider the shape ofthe ark as a rectangular prism. You will be replacing boards on five of thesix sides of the rectangular prism. The dimensions of the ark are accordingto Genesis 6:15 300 cubits by 50 cubits by 30 cubits (450 feet long by 75feet wide by 45 feet tall.) Prices are listed in the table below.ItemLumberWaterproofingdescription10 inches x16 feetCovers 60 square feetper bucketcost$75 per board$44 per bucketBe sure to show:1. all your work2. Total number of boards with final cost of wood3. Total number of buckets of waterproofing and cost of waterproofing4. Total cost for the whole project.5. High school basketball courts are 84 feet long by 50 feet wide. If wewere able to lay out flat all the sides and the bottom of the ark, howmany basketball courts would it take to cover it? Round your answer to the nearest hundred if needed.

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