Trade-show booth build
Organisers sell floor space in feet, and the back wall of a 10 × 10 booth stands 8 ft high. At 100 DPI the graphic runs 12,000 × 9,600 pixels.
Convert feet to pixels at any DPI
One foot is 1,152 pixels on screen and 3,600 pixels at 300 DPI. Enter the size in feet, set the density and see how many pixels the file needs. This is the sum that opens every booth graphic, banner and wall wrap.
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What is converting feet to pixels for?
Feet turn into pixels with one sum: multiply the size in feet by twelve, then by DPI. At 96 DPI a foot is 1,152 pixels, at 150 DPI 1,800 pixels, and at the 300 DPI used in print 3,600 pixels. The figure of 96 pixels per inch is what the CSS specification assigns to a screen.[1]
The twelve in the middle comes from the foot splitting into twelve inches, and DPI (dots per inch) gives the pixels that land on one inch. The whole conversion runs through the inch.
This is the working unit of US large format. Trade-show organizers sell floor space in feet, sign shops quote banners in feet, and the design software asks for a pixel count. British and Irish print buyers order the same panels in meters, so a job crossing the Atlantic arrives in one unit and gets made in the other.
Below you will find a table of 19 sizes at four densities, US trade-show and signage formats converted to pixels, the three feet the English language has used, and the way to read the 8′ 6″ notation. The journey the other way is handled by the pixels to feet converter.
How to work out feet to pixels by hand
The formula holds two operations: pixels = feet × 12 × DPI. The first turns feet into inches, the second turns inches into pixels.
Take a booth back wall 10 feet wide at 150 DPI: 10 × 12 gives 120 inches, and 120 × 150 gives 18,000 pixels. The same wall at 100 DPI needs 12,000 pixels, because fewer dots land on each inch.
Hence the rule for reading the result: the pixel count rises in direct proportion to density. Doubling the DPI doubles the width of the file, and the pixel count of the whole graphic rises fourfold because both edges multiply.
Orders write the size in the compound form, for example 8′ 6″. The prime mark means feet and the double prime means inches. Six inches is half a foot, so the converter takes 8.5. The field accepts a comma or a point, so 8.5 and 8,5 both work.
When the job is quoted in inches or in metric, the same sum is handled by the inches to pixels converter, the centimeters to pixels converter and the meters to pixels converter.
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How many pixels are in a size given in feet?
The same sizes at four densities. The 72 DPI column covers graphics read from a distance, 96 DPI matches the screen density in the CSS standard, 150 DPI suits trade-show builds, and 300 DPI is sheet-fed print density.
| Size | 72 DPI | 96 DPI (screen) | 150 DPI | 300 DPI (print) |
|---|---|---|---|---|
| 0.25 ft | 216 px | 288 px | 450 px | 900 px |
| 0.5 ft | 432 px | 576 px | 900 px | 1,800 px |
| 0.75 ft | 648 px | 864 px | 1,350 px | 2,700 px |
| 1 ft | 864 px | 1,152 px | 1,800 px | 3,600 px |
| 1.5 ft | 1,296 px | 1,728 px | 2,700 px | 5,400 px |
| 2 ft | 1,728 px | 2,304 px | 3,600 px | 7,200 px |
| 2.5 ft | 2,160 px | 2,880 px | 4,500 px | 9,000 px |
| 3 ft | 2,592 px | 3,456 px | 5,400 px | 10,800 px |
| 4 ft | 3,456 px | 4,608 px | 7,200 px | 14,400 px |
| 5 ft | 4,320 px | 5,760 px | 9,000 px | 18,000 px |
| 6 ft | 5,184 px | 6,912 px | 10,800 px | 21,600 px |
| 8 ft | 6,912 px | 9,216 px | 14,400 px | 28,800 px |
| 10 ft | 8,640 px | 11,520 px | 18,000 px | 36,000 px |
| 12 ft | 10,368 px | 13,824 px | 21,600 px | 43,200 px |
| 16 ft | 13,824 px | 18,432 px | 28,800 px | 57,600 px |
| 20 ft | 17,280 px | 23,040 px | 36,000 px | 72,000 px |
| 24 ft | 20,736 px | 27,648 px | 43,200 px | 86,400 px |
| 30 ft | 25,920 px | 34,560 px | 54,000 px | 108,000 px |
| 40 ft | 34,560 px | 46,080 px | 72,000 px | 144,000 px |
Values follow the formula px = feet × 12 × DPI and are given in whole pixels. Whole feet always give whole numbers, because an integer is multiplied by twelve and by the density.
How many pixels are in the standard US formats?
The sizes that come up most often in American orders. The columns give three densities used in large format: 72 DPI for graphics read from a distance, 100 DPI for a typical trade-show build, and 150 DPI for material people stand close to. Sizes read as width × height.
| Format | 72 DPI | 100 DPI | 150 DPI |
|---|---|---|---|
| Banner 3 × 6 ft | 2,592 × 5,184 | 3,600 × 7,200 | 5,400 × 10,800 |
| Rigid sheet 4 × 8 ft | 3,456 × 6,912 | 4,800 × 9,600 | 7,200 × 14,400 |
| Vertical banner 4 × 10 ft | 3,456 × 8,640 | 4,800 × 12,000 | 7,200 × 18,000 |
| Step-and-repeat 8 × 8 ft | 6,912 × 6,912 | 9,600 × 9,600 | 14,400 × 14,400 |
| Booth back wall 10 × 8 ft | 8,640 × 6,912 | 12,000 × 9,600 | 18,000 × 14,400 |
| Booth back wall 20 × 8 ft | 17,280 × 6,912 | 24,000 × 9,600 | 36,000 × 14,400 |
| Horizontal banner 6 × 3 ft | 5,184 × 2,592 | 7,200 × 3,600 | 10,800 × 5,400 |
The 4 × 8 ft sheet is the most common format for rigid substrates sold in the United States, and the 8 × 8 ft step-and-repeat is the wall guests are photographed against. The height of 8 ft returns several times because that is what a standard booth back wall measures.
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Why is a foot exactly 0.3048 meters?
The international agreement of July 1959 fixed the foot at exactly 0.3048 meters.[2] Because an inch is exactly 25.4 millimeters, twelve inches come to that figure evenly, and the run from feet to pixels carries no rounding along the way.
Until the end of 2022 the United States kept two feet in service. Alongside the international foot, surveyors used the US survey foot of 1200/3937 meters, longer by two parts per million. NIST puts the gap over one mile at about 0.01 ft, or 0.12 in.[3] On 31 December 2022 NIST and the National Geodetic Survey deprecated it, and since 2023 one foot remains.
A third figure sits in the record: the UK foot before 1959 measured 0.3047990 meters.[2] A hundred feet of print at two parts per million drift by 0.061 millimeters, and the table below shows all three feet landing on the same 3,600 pixels at 300 DPI.
How many pixels does each foot give?
The English language has carried three feet within living memory. The table sets the one in use today beside the survey foot retired at the end of 2022 and the British foot used before 1959, and the last column converts each at 300 DPI.
| Foot | Length | Inches | Pixels at 300 DPI |
|---|---|---|---|
| International foot, since 1959 | 0.3048 m | 12.0000 in | 3,600 px |
| US survey foot, until 2022 | 0.3048006 m | 12.0000 in | 3,600 px |
| UK foot before 1959 | 0.3047990 m | 12.0000 in | 3,600 px |
All three land on the same pixel count because the widest gap between them is 0.000063 in, which comes to two hundredths of a pixel at 300 DPI. The distinction mattered to surveyors measuring miles, and it leaves no trace in a print file.
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When is converting feet to pixels useful?
Step-and-repeat for sponsors
The standard wall measures 8 × 8 ft and guests stand an arm away from it. At 150 DPI the file is 14,400 pixels on each edge.Order from a sign shop
The spec says 4′ × 8′ at 150 DPI. Entering 4 and 8 at that density gives 7,200 × 14,400 pixels, the figure to set in your software.Wall graphic in an office fit-out
The architect gives the wall as 20 feet wide. At 100 DPI that is 24,000 pixels, and at 72 DPI 17,280 pixels.
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Sources
- CSS Values and Units Module Level 4 — W3C
- Foot (unit) — Wikipedia
- U.S. Survey Foot: Frequently Asked Questions — NIST
Every figure in the tables was computed from the unit definitions and checked arithmetically before publication. Historical values and the names of local units come from the sources listed above.
Content last reviewed: · written and checked by the Arteon team
Frequently asked questions
How many pixels are in a foot?
At 96 DPI a foot is 1,152 pixels. At 72 DPI it is 864 pixels, at 150 DPI 1,800, and at 300 DPI 3,600 pixels. The pixel count in a foot follows the density you set, because a pixel takes on a physical size only alongside it.
How do I enter a size written as 8′ 6″?
The prime mark means feet and the double prime means inches. Six inches is half a foot, so 8′ 6″ goes in as 8.5. In general, divide the inches by twelve and add: 3 in is 0.25 ft, 4 in is 0.333 ft, and 9 in is 0.75 ft.
How many pixels is a 10 foot booth wall?
A width of 10 feet is 8,640 pixels at 72 DPI, 12,000 pixels at 100 DPI and 18,000 pixels at 150 DPI. A standard back wall stands 8 feet high, which is 9,600 pixels at 100 DPI.
What DPI should a trade-show graphic be?
A build read from several feet away looks right at 72 to 120 DPI. Material people stand close to, such as a step-and-repeat or a counter wrap, gains at 150 DPI. Density follows viewing distance, and the meters to pixels converter derives those thresholds.
Why does the formula multiply by twelve?
A foot splits into twelve inches, and DPI gives the pixels that land on one inch. Multiplying by twelve turns feet into inches, and multiplying by DPI turns inches into pixels.
What was the US survey foot?
It measured 1200/3937 meters, longer than the international foot by two parts per million, which comes to about 0.12 in over a mile.[3] NIST and the National Geodetic Survey deprecated it on 31 December 2022. In a print file both feet give the same pixel count.
How do I turn a finished file back into feet?
Divide the pixel count by the density, then by twelve. A file 18,000 pixels wide at 150 DPI is 120 inches, or 10 feet. That direction is handled by the pixels to feet converter.
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