Final answer:
The value of m³ (cubic meter) is a measure of volume in the metric system, equivalent to 1,000,000 cubic centimetres or 1000 litres. It is also a critical component in calculating mass from volume given the substance's density, such as the mass of air at 1.28 kg/m³.
Step-by-step explanation:
The student has asked about the value of m³, which is a unit of volume in the metric system. The SI unit of volume is cubic meter (m³), representing the space occupied by a cube with 1-meter-long edges. Converting this to a more common unit, since each meter is 100 centimetres, we calculate the volume in cubic centimetres by cubing 100, which yields 1,000,000 cm³ or 10¶ cm³ in 1 m³. In the context of liquids, this volume is also equivalent to 1000 litres, as 1 litre equals 1 cubic decimeters and a cubic meter contains 1000 cubic decimeters.
Additionally, understanding the density of a substance allows us to convert volume to mass. This is particularly useful in fields like engineering and physics, where the mass of air in a given space might be relevant. For instance, with a density of air at approximately 1.28 kg/m³, one cubic meter of air would weigh about 1.28 kilograms.