Using gravel you would have to cover every square inch of that 39.3701" square for 12" in height (really good stacking) to equal 1047 pounds... We could take a stab at calculating what kind of pyramid (pile) you could reasonably expect to get out of gravel, to get a more accurate measurement, but since substrate will vary from location to location, It'd be a pretty pointless exercise. Using less weight would be pointless in a high wind event, as at that point all you'd be doing is adding a set of click-clacks to the mix to make sure your airplane is thoroughly beat to heck when the wind is done

I guess if you are going to carry bags, and a set of spoilers, you might have something tho...
OK…I think even I can figure this one out…make the tarp bigger?
The bottom line is that if you’re parked on loose gravel, sand, or cobbles, driving something into the ground, at least something you can cary in the airplane and drive with a hammer, isn’t going to hold. Steel duckbills might work assuming you could drive them deep enough without a jackhammer, but even if you mange it, that gets expensive fast.
The inverted Cub at the Chicken Strip prominently displays a Claw tie down dangling from the tail spring…it didn't even hold the tail of a J-3 in gravel. Even in dirt, Fly Ties and similar devices pull out at between 200 to 600 pounds, depending on the soil. The makers claim much higher loading and I believe they can probably get it under ideal conditions, but it doesn’t prove out in day to day testing. Used in loose gravel or sand they are nothing but decoration. Believing something has good holding power just because it was driven into the ground is not logical.
Any system employed on a gravel/cobble/sand bar is 100% dependent on the amount of material you can physically move. Burying a dead man or filling up a container…both require shovel work and will give back exactly what you put into them. If you want 1,000 pound tie downs, get ready to move 2,000 pounds of gravel and rocks.
If you’re happy using Fly Ties or the Claw or similar devices in dirt, you should be equally happy with a few hundred pounds of gravel in a sack. The only difference is that with in-ground anchors you’re flat-out guessing what the pull strength really is, and once they start pulling out, they're done. A 300 pound weight is more secure than a ground stake that pulls out at 300 pounds, because a 310 pound tug from a gust will render the stake useless, while the weight will just bob up a bit and then keep on providing 300 pounds of anchor. Don't buy into the dogma that there's only one right way to do things.
We all want bombproof tie down anchors, but field solutions RARELY meet that definition. Every solution has to be customized to the location and conditions, and not every solution is going to withstand very high winds. I love the click-clack visualization, but hanging 200 pounds off each tie down point, while hardly ideal, is not pointless. That plane will withstand more wind than it would without those loads attached. If you're parked in an area prone to high winds then you'd better come up with something better of course, or don't park there...