How Do You Convert Kilograms to Carats?
Multiply kilograms by 5,000 to get carats. The formula is: Carats = Kilograms x 5,000. One kilogram equals 1,000 grams, and each gram equals 5 carats, giving 5,000 carats per kilogram.
Coach Rivera buys crystal trophies for end-of-season awards. The supplier quotes 1.2 kg of crystal blanks. Converting: 1.2 x 5,000 = 6,000 carats of crystal material. Each trophy uses about 500 carats (100 g), so 1.2 kg is enough for 12 trophies with material to spare.
Bulk Weight Reference
| Kilograms | Carats | Context |
|---|---|---|
| 0.001 kg | 5 ct | One gram (single large gem) |
| 0.01 kg | 50 ct | Small gem parcel |
| 0.1 kg | 500 ct | Dealer lot |
| 0.5 kg | 2,500 ct | Wholesale parcel |
| 1 kg | 5,000 ct | Large wholesale lot |
| 5 kg | 25,000 ct | Small mine weekly output |
| 10 kg | 50,000 ct | Industrial diamond order |
| 100 kg | 500,000 ct | Major mining operation |
Practical Applications
Mining Operations
Tom Brewer researches diamond mining economics. A typical kimberlite mine processes 3 million tons of ore to recover about 5 kg of diamonds = 25,000 carats. Of those, only 7,500 carats (1.5 kg) are gem quality. The remaining 17,500 carats (3.5 kg) go to industrial use. He calculates the yield: about 1.67 carats per 1,000 tons of earth moved.
Wholesale Gem Trading
Sam Okafor sources stones for a jewelry designer. A rough sapphire lot is offered at $800 per kilogram. He buys 0.8 kg = 4,000 carats of rough material. After cutting (40% weight retention), he expects about 1,600 carats of finished stones = 0.32 kg. His effective cost per finished carat is $400 total / 1,600 = $0.50 per carat for commercial-grade sapphires.
Industrial Abrasives
Dana Kowalski orders diamond-coated cutting discs. Each disc contains 0.004 kg = 20 carats of synthetic industrial diamond embedded in the cutting edge. She orders 25 discs requiring 0.1 kg = 500 carats of diamond total. Synthetic industrial diamonds cost about $1 per carat versus $3,000-$10,000 per carat for natural gem-quality stones.