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Ctwoodtick seems this has turned into a d!ck comparing contest instead of answering your question.
At least blacktail and garfunkle are actually answering. Just to elaborate more on what they were getting at, you can take a guess that if packed well and roughly level I think it's still a bit under half a cord, maybe around 1/3 cord (just a guess). Then look up on the chart they linked too to find what species of wood you're hauling (they can vary a lot like 50%-200% almost) or if its a mix then pic a weight number in the middle. So lets say a mix of common hardwoods around here (cherry, ash, oak) is probably around 4000-4250 lbs per cord green, so 1/3 of 4250 is 1,416 lbs.
If you want to be exact you could measure the truck bed, height x width x length = volume. And a cord is 128 cubic feet. So multiply all dimensions in feet, or multiply inches then divide the answer by 1728 to convert cubic inches to cubic feet. If you're load is heaped up then you're going to have to guestimate a bit higher volume of course.