Friday, March 18, 2011

Exodus 38:24-31 - Density and Weight ratios of the donated Gold, Silver and Copper

I wanted to perform ratio calculations to see if there are any interesting connection between the amounts of donated Gold, Silver and Copper for the Tabernacle.

I will be using the following values for my initial calculations: 
  1. Density of Gold - 19320 kg/m^3 (theoretical)
  2. Density of Silver - 10490 kg/m^3 (theoretical)
  3. Density of Copper - 8930 kg/m^3 (theoretical)
  4. 1 Talent = 3000 Shekels = 6000 Bekah = 60000 Gerah (Exodus 30:13)
The totals of the donated metals as outlined in Exodus 38:24, Exodus 38:25 and Exodus 38:29 are as follows:
  1. Gold - 29 Talents 730 Shekels
  2. Silver - 100 Talents 1775 Shekels
  3. Copper - 70 Talents 2400 Shekels
Converting all totals to Shekels would yield:
  1. Gold - (29 * 3000) + 730 = 87000 + 730 = 87730 Shekels
  2. Silver - (100 * 3000) + 1775 = 300000 + 1775 = 301775 Shekels
  3. Copper - (70 * 3000) + 2400 =  212400 Shekels
Therefore, in Shekels, the ratios are as follows:
  1. Based on Gold - [1.00000 to 3.43981 to 2.42106]
  2. Based on Silver - [0.29071 to 1.00000 to 0.70383]
  3. Based on Copper - [0.41304 to 1.42078 to 1.00000]
And the defined densities ratios are as follows:
  1. Based on Gold - [1.00000 to 0.59296 to 0.46221]
  2. Based on Silver - [1.84175 to 1.00000 to 0.85128]
  3. Based on Copper - [2.16349 to 1.17469 to 1.00000]
At this point, I do not see anything in these numbers. I was hoping that the weight ratios will be proportional to those of densities of Gold, Silver and Copper. But unfortunately this is not the case, and there are no any other apparent relationships between these numbers. At least not those that I could see right now...

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