Math Trail: |
Our Solution There are probably several ways to solve this problem, but the approach we devised was to divide the pool into four sections. The shallow end, middle portion, deep end without the slope, and the sloped portion, which was a triangle. We found that the shallow end had a volume of 252.54m³, the middle portion a volume of 232.19m³, the deep end a volume of 549.22m³, and the sloped part, a volume of 625.75m³. This gave the pool a total volume of 1659.7m³. We measured an average sized person and determined their volume, although the volume for a person could vary. Using the volume, and our average person size, we discovered that you could fit 17 846 people in the pool. We found that the surface of the water had an area of 915m², and a person 0.542m², so 1688 people could fit arm to arm in the pool, with their heads above the water. We thought that 2m² could give each person room to tread water, so 457 people could fit in the pool if they each had 2m² to tread water in. The definition of comfortable though, could vary depending on how much room each person wants. |
