"What do you measure (when) you measure..." ? When you measure an object's temperature, you are measuring the amount of heat the object emits (gives off). There is no such thing as cold, only the absence of heat.
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Volume of an object is a measure of the space occupied by objects.
Temperature
THey don't have corners
In itself it is none of them - it is just a number.However if some units are attached, it can be any of them:If its units are a linear measure, eg 472 m, it is a lengthIf its units are a square measure, eg 472 sq cm, it is an areaIf its units are a weight measure, eg 472 kg, it is massIf its units are a time measure, eg 472 seconds, it is timeIf its units are a temperature measure, eg 472 K, it is temperature.
Celsius or Fahrenheit