You cannot.
A cubic metre per minute is a measure of flow rate, whereas psi is a measure of pressure. The two measure different things and, according to the basic principles of dimensional analysis, conversion from one to the other is not valid.
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Since a cubic meter is the same as 1000 liters, you have to divide the liters by 1000.
Multiply liters per minute by 0.0353146667 to get cubic feet per minute.
You cannot convert cubic meters per second to meters per second. You cannot convert volume to length.
Use this formula to convert gallons per minute to cubic feet per second:gallons per minute x 0.002228 = cubic feet per second. So; 500 x 0.002228 = about 1.114 cubic feet per second.
This question cannot be answered in a sensible way. A millimeter per minute is a measure of speed, with dimensions [LT-1]. A cubic metre per minute is a measure of flow rate, with dimensions [L3T-1]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions without additional information.