Understanding the paper quantity converter — concept and principle
This converter changes paper quantities between sheets, quires, reams and boxes, and works out how many sheets a double-sided print job needs. It shows sheets, quires, reams, boxes, the whole number of boxes to buy and the pages that can be printed double-sided. Office managers, teachers and print shops use it for ordering.
How it is calculated
- A ream = 20 quires; sheets per ream = 500 (standard), 480 (old short ream) or 516 (printer's ream)
- Sheets = reams × sheets per ream; quires = sheets ÷ (sheets per ream ÷ 20)
- Boxes = sheets ÷ (sheets per ream × reams per box); boxes to buy = rounded up
- Double-sided: sheets needed = pages ÷ 2, rounded up; printed pages = sheets × 2
The principle
Paper counting units come from old trade practice. A ream is defined as 20 quires; today it almost always means 500 sheets, so a quire is 25 sheets. Older usage knew a 480-sheet ream with 24-sheet quires, and printers used a 516-sheet ream that allowed for spoiled sheets. Box sizes are set by the seller, which is why you enter reams per box from the label.
Worked example
Defaults: 3 reams, 500 sheets per ream, 5 reams per box.
- Sheets = 3 × 500 = 1,500.
- Quires = 1,500 ÷ 25 = 60; reams 3.
- Boxes = 1,500 ÷ 2,500 = 0.6; boxes to buy = 1.
- Double-sided pages = 1,500 × 2 = 3,000.
| Amount of paper | Sheets |
|---|---|
| 0.75 | 375 |
| 1.5 | 750 |
| 2.25 | 1,125 |
| 3 | 1,500 |
| 3.75 | 1,875 |
| 4.5 | 2,250 |
| 6 | 3,000 |
How to read the result
Round up for purchases, and add a margin for jams, test prints and spoiled sheets. For print jobs, remember that a booklet folded from sheets has four pages per sheet, which this converter does not model.
Common mistakes
- Assuming every ream has 500 sheets; check the label.
- Forgetting that double-sided printing needs half the sheets, not half the reams of a box.
- Ordering exactly the calculated amount with no allowance for waste.
- Confusing sheet count with page count.
Frequently asked questions
How many sheets are in a ream?
Today usually 500.
What is a quire?
One twentieth of a ream: 25 sheets in a 500-sheet ream.
How many sheets do I need for 300 double-sided pages?
150 sheets.
Sources: Merriam-Webster Dictionary, entry "ream"