How many liters are equivalent to one meter cubed?

One cubic meter is equivalent to one thousand liters because of the relationship between volume measurements in the metric system.

The metric system defines units in such a way that a cubic meter measures volume by the amount of space that a cube with each side measuring one meter occupies. Since one liter is defined as the volume of a cube that is 10 centimeters on each side, we can calculate the number of liters in a cubic meter.

To see why this conversion holds, we can break it down:

1 cubic meter (1 m³) = 100 centimeters x 100 centimeters x 100 centimeters (as there are 100 centimeters in a meter).

This equals 1,000,000 cubic centimeters (cm³).

Given that 1 liter is defined as 1,000 cubic centimeters, we can find the number of liters in one cubic meter by dividing the total volume in cubic centimeters by the volume of one liter:

1,000,000 cm³ / 1,000 cm³/liter = 1,000 liters.

This conversion is fundamental to understanding volume in metric units, which is used in industrial hygiene and many other scientific fields. The other choices do not accurately represent the volume in liters that corresponds to one cubic meter.