There is no direct transfer of meters per second to meters cubed per second. Meters per second is velocity, meters cubed per second is volumetric flow. If it is fluids in a channel or pipe and you knoe the area of the fluid flow then you can use Flowrate = Area x Velocity
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If this is liquid flowing through a pipe or down a river, then you need to know the cross sectional area at the point you are measuring. For a pipe, this would be pi * (radius)2, or pi*(diameter/2)2. Most pipe is sold by diameter.
A river or creek would have to be determined by knowing the shape of the river bottom and won't be discussed here.
With area in square meters, you can multiply (meters/sec) * (area) to get (cubic meters)/sec. Since there are 3600 seconds in an hour, multiply (3600 sec/hr) * (cubic meters)/sec, to get cubic meters per hour.
cubic meters per second x 3,600 = cubic meters per hour
1 metre3 /hour x (1/(0.30483 x 60)) = 1 cu ft / minute
(1/(0.30483 x 60)) = 0.5886
1 m3 / h x 0.5886= 1 ft3 / min
There are 3 feet in on yard and 3 x 3 x3 =27 cubic feet in one cubic yard
Duivide cubic feet per minute by 27 to get cubic yards per minute