I first had to make some underlying assumptions. We estimated Charlie Weinerman weighing 140 lbs. I found a statistic online that the surface area of skin is somewhere around 1.6 m². I wasn't sure if that would be too high or too low for 5' 7" Charlie, so I just left it. I then assumed the thickness of the skinsuit would be 1 mm (0.001 m). Multiplying the surface area by the thickness produces a volume of 0.0016 m³ of vibranium.

Next, I needed the density of the metal. Steel has a density around 7850 kg/m³. I looked up vibranium and adamantium in the old Official Handbooks of the Marvel Universe. The only clue I could find was that Captain America's shield, a mixture of adamantium and vibranium, weighs 12 lbs and has a 2.5' diameter. I know there's a curvature to the shield, but for simplicity, I assumed it was a disc about 1/20th of an inch thick. That would yield a volume of 0.000578 m³. At 12 lbs (5.44 kg), the density of Cap's shield is 9398 kg/m³. I opted for the density of Cap's shield to approximate pure vibranium. At a density of 9398 kg/m³ for a skinsuit volume of 0.0016m³, the additional weight on Charlie's body is 15.04 kg or 33 lbs. Therefore, Charlie's weight with the skinsuit is 173 lbs! Class dismissed!