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The coursework problem set to us is to find the shape of a gutter that generates the maximum flow of water and that can contain the most water in it. The plastic used for the gutter can be no more than 30cm in width.  

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Maths Coursework Investigation The coursework problem set to us is to find the shape of a gutter that generates the maximum flow of water and that can contain the most water in it. The plastic used for the gutter can be no more than 30cm in width. Plan To find the gutter that produces the biggest flow of water I must investigate different shapes of gutters to find which generates the largest volume. To do this I will use a variety of different shapes. I will firstly investigate a rectangle shaped gutter changing the length of the sides to form the largest volume. This is the simplest shape with a small amount of sides. The second I will investigate will be an isosceles triangle shaped gutter. The third shape I will investigate will be a trapezium shaped gutter and lastly I will investigate a semicircular shaped gutter. In calculating the trapezium...

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