Here are some examples your students might suggest. Shoe sizes when buying running shoes. Police measure vehicle speeds to see if they're going to fast. The weight and length of a newborn. Store owners measure their stock by taking inventory.
Airplanes have a maximum load they are capable of carrying safely.
Pilots and aircraft controllers have to know how fast planes near the airport are going and what direction they are coming from. Airplanes are subjected to huge amounts of stress during repeated takeoffs and landings. The wear on all of their parts is very carefully monitored and measured so that engineers and technicians know when they need to be replaced. Among other things their weight, blood pressure, oxygen levels, blood sugar, temperature, fluid intake and output and respiratory rate are measured on an ongoing or frequent basis. Amounts in volume and weight are very important for people who cook, but more important is the temperature at which food is prepared and stored and the amount of time for which it is cooked.