1. Predicting the arrival of monsoon in a country.
  2. Using a model of solid cube to explain about its faces and edges.
  3. Estimating the volume of blood inside the body of a person.
  4. Finding the width and depth of a river at an unreachable place.
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Option 2 : Using a model of solid cube to explain about its faces and edges.

​Mathematical modelling is an attempt to study some part (or form) of a real-life problem in mathematical terms. Conversion of the physical situation into mathematics with some suitable conditions is known as mathematical modelling. Mathematical modelling is nothing but a technique and pedagogy taken from fine arts and not from the basic sciences.The use of Mathematics in solving real-world problems has become widespread especially due to the increasing computational power of digital computers and computing methods, both of which have facilitated the handling of lengthy and complicated problems. The process of translation of a real-life problem into a mathematical form can give a better representation and solution of certain problems. The process of translation is called Mathematical Modelling. 
Mathematical models are used to solve many real-life situations like:
  • Launching a satellite,
  • Predicting the arrival of the monsoon,
  • Controlling pollution due to vehicles,
  • Reducing traffic jams in big cities.
  • Proper flow of blood is essential to transmit oxygen and other nutrients to various parts of the body in human beings as well as in all other animals. Any constriction in the blood vessel or any change in the characteristics of blood vessels can change the flow and cause damages ranging from minor discomfort to sudden death. The problem is to find the relationship between blood flow and the physiological characteristics of the blood vessel.
  • In cricket a third umpire takes a decision of an LBW by looking at the trajectory of a ball, simulated, assuming that the batsman is not there. Mathematical equations are arrived at, based on the known paths of balls before it hits the batsman’s leg. This simulated model is used to decide LBW. 
  • The meteorology department makes weather predictions based on mathematical models. Some of the parameters which affect change in weather conditions are temperature, air pressure, humidity, wind speed, etc. The instruments are used to measure these parameters which include thermometers to measure temperature, barometers to measure air pressure, hygrometers to measure humidity, and anemometers to measure wind speed. Once data are received from many stations around the country and fed into computers for further analysis and interpretation.
  • Department of Agriculture wants to estimate the yield of rice in India from the standing crops. Scientists identify areas of rice cultivation and find the average yield per acre by cutting and weighing crops from some representative fields. Based on some statistical techniques decisions are made on the average yield of rice.

Therefore, Using a model of the solid cube to explain its faces and edges involves no future prediction and hence it is not an appropriate example of Mathematical modelling.

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