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Novel feats | cutting a mountain

I need the length and width of the cut area. The thickness would be your typical sword blade edge thickness.

length x width x sword edge thickness = volume destroyed.

Then you multiply with the destruction energy of the material.
 
Given how low cutting feats yield in general, likely a hell of a lot lower than this.

But again, I need the length and width of the cut portion.
Use the area of a triangle with the height and radius of an average mountain, then multiply it by the thickness of the sword to get the volume of the cut section.
 
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