Answer & explanation
The official answer, with Fermi’s reasoning step by step.
Answer & explanation
Official answer
2,500
oranges
How to estimate it
Fermi’s official “Napkin math”
If you have ever juiced an orange you could guess maybe an orange has around 3 ounces of juice. Then you just need to convert ounces to gallons.
- Juice per orange
- ~3 oz
- The drum, 55 gal × 128 oz
- 7,040 oz
- 7,040 ÷ 3
- ≈ 2,300
If you have ever juiced an orange you could guess maybe an orange has around 100 milliliters of juice. Then you just need to convert milliliters to liters.
- Juice per orange
- ~100 ml
- The drum, 200 L × 1,000 ml
- 200,000 ml
- 200,000 ÷ 100
- ≈ 2,000
Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.
Source calculation & reference
- 55 US gallon drum
- 7,040 fl oz
- Orange juice, USDA, 31 g per fl oz
- ≈ 218,240 g
- Juice from one orange, USDA
- ÷ 86 g
- 218,240 ÷ 86 = 2,538, rounded
- ≈ 2,500
Reference cited by Fermi: USDA and the Florida Dept. of Citrus
How close was your guess?
Your comparison will appear here.
Compare by ratio: divide the larger number by the smaller one. The closer to 1×, the better.