For many decapods the cube of carapace length or carapace width is often used as a rough metric for volume. For copeps you could measure the height and length of the cephalon and thorax then calculate the volume as a cylinder as in V = (pi)(Length)(1/2 height)^2. That would give you a pretty good estimate of the volume.
With a cursory search on copepod volume, google scholar gave me this: http://www.calcofi.org/publications/calcofireports/v25/Vol_25_Theilacker___Kimball.pdf
You can measure copepod height as the vertical distance between the ventral and dorsal margins of the cephalon. You could do this for the thoracic or abdominal segments as well and then calculate a volume on a truncated pyramid or ellipsoid as was done in the Theilacker and Kimball paper.
microscopical measurement of the biovolume calibration of measured units to actual size by stage micrometer and using appropriate geometrical equation use the assumption of 1 as specific gravity and convert micron cube units to microgram when one million cucic micron is equal one microgram
I would add that you should not overlook the impact of preservatives though, formalin can shrink copepods considerably. This can help you generate error bars for your estimate.
Image analysis software is an excellent method for this. If you don't have the tools for it, you can certainly do estimates by hand with a micrometer as indicated, it's just that the variance will be higher and there will be more measurement error.