Final answer:
One cubic meter is equal to 1,000 liters. This is because a cubic decimeter, which is the same as a liter, is a unit used to measure volume, and there are 1,000 cubic decimeters in one cubic meter.
Step-by-step explanation:
The question you've asked is related to volume conversion in mathematics. Specifically, you want to know how many liters are in one cubic meter (m³). When converting cubic meters to liters, the conversion factor is based on the relationship between these units of volume in the metric system.
The definition of a liter (L) is equivalent to one cubic decimeter (dm³), or 1,000 cubic centimeters (cm³). To find out how many liters are in one cubic meter, we observe that one meter consists of ten decimeters (1 m = 10 dm), and since volume is calculated by cubing the linear dimensions, we cube both sides of that equation to get (1 m)³ = (10 dm)³, which simplifies to 1 m³ = 1,000 dm³. This tells us that 1 m³ is equal to 1,000 liters (L), because each cubic decimeter is exactly one liter.