This is for estimating the weight of loose diamonds. I found this information from website of Mr.Ryan Thompson (http://famousdiamonds.tripod.com/diamondweightestimation.html)
This section was originally "Gemstone Weight Estimation", but he realized the formulas were meant for diamond.
3.52 is the specific gravity of diamond.
Here are the estimation calculation
Rounds = Diameter x Diameter x Depth x .0061
Ovals = Length x width x Depth x .0062
Princess Cuts = Length x width x depth x .0083
Heart Cuts = Length x width x depth x .0059
Triangle Cut = Length x width x depth x .0057
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Emerald Cut = Length x width x depth x factor:

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Marquise Cut = Length x width x depth x factor:

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Pear Cut = Length x width x depth x factor: