A collection of six resources exploring the mathematics used in the production of steel. Students explore the: *Design of tin cans requiring the formation of equations, calculation of the volume of a cylinder and the minimum value for surface area. *Most efficient way to stamp out the template for a drinks can from a sheet of steel requiring the calculations of areas of squares, circles and the use of trigonometry. *Elimination of wavy edges in steel production using Pythagoras' theorem, trigonometry and the calculation of the length of the arc of a sector. *Transportation costs associated with supplying goods to the correct place. *Use of repeated percentages to calculate the reduction in width of tinplate and solve problems using trial and improvement or logarithms. *Volume and weight of tinplate held on a cylindrical roll and the length of tinplate produced.

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Reduction Mill

The reduction mill reduces the thickness of a strip of steel using a series of rollers, each roller making the steel slightly thinner. The percentage reduction is constant on each pair of rollers. The mathematics used to calculate the actual reduction is similar to that used when calculating compound interest....

Coil Feed Line

This problem features a coil of tinplate being stored on a mandrel. In the first problem, students are presented with the diameter of the mandrel, the height from the floor, the width of the coil and the density of the steel. The problem is to calculate the maximum coil weight. A worked solution is included with...

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